{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f8ba3161",
   "metadata": {},
   "source": [
    "# Input 4 Feature attribution"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6535c1f2",
   "metadata": {},
   "source": [
    "How to determine the importance of features? This is known as feature attribution. This notebook shows how to get feature scores in KANs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "1d88fa9d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 2.98e-03 | test_loss: 3.06e-03 | reg: 1.94e+00 | : 100%|█| 40/40 [00:17<00:00,  2.30it"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "from kan import *\n",
    "from sympy import *\n",
    "\n",
    "# let's construct a dataset\n",
    "f = lambda x: x[:,0]**2 + 0.3*x[:,1] + 0.1*x[:,2]**3 + 0.0*x[:,3]\n",
    "dataset = create_dataset(f, n_var=4)\n",
    "\n",
    "input_vars = [r'$x_'+str(i)+'$' for i in range(4)]\n",
    "\n",
    "model = KAN(width=[4,5,1])\n",
    "model.fit(dataset, steps=40, lamb=0.001);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c782f62",
   "metadata": {},
   "source": [
    "get feature score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2693a8c7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0.8882, 0.5098, 0.1094, 0.0009])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.feature_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "89d836df",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 32 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(in_vars=input_vars)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6182005a",
   "metadata": {},
   "source": [
    "prune inputs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "cac3ea5f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "keep: [True, True, True, False]\n",
      "saving model version 0.2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 27 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = model.prune_input()\n",
    "model.plot(in_vars=input_vars)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e7eaa42",
   "metadata": {},
   "source": [
    "Let's consider a high-dimensional case. In the case of many inputs but only few are important, the users may want to prune input otherwise too many inputs make interpretable hard."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "6a5b6ccf",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 3.27e-02 | test_loss: 4.43e-02 | reg: 2.77e+01 | : 100%|█| 50/50 [02:08<00:00,  2.57s/"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "from kan import *\n",
    "\n",
    "# let's construct a dataset\n",
    "n_var = 100\n",
    "\n",
    "def f(x):\n",
    "    y = 0\n",
    "    for i in range(n_var):\n",
    "        # exponential decay\n",
    "        y += x[:,[i]]**2*0.5**i\n",
    "    return y\n",
    "        \n",
    "dataset = create_dataset(f, n_var=n_var)\n",
    "\n",
    "input_vars = [r'$x_{'+str(i)+'}$' for i in range(n_var)]\n",
    "\n",
    "model = KAN(width=[n_var,10,10,1], seed=2)\n",
    "model.fit(dataset, steps=50, lamb=1e-3, reg_metric='edge_forward_n');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "dd91e538",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/JBIJ99VXX7XSNlvbzHXzZ5vjurnNt7S2tuKdd97BpEmTEIvFcll1n9hqm+u6aG1txcsvv4ynnnoKt99+O+LxOH784x/j/PPPx5AhQ+A4DhzHQTgc9v6Wn2xja7vZahdA2zJBu6i2tjarbBNsazNNvmzLubiQzHBdF47jJN1g27dvx2233Ybf/OY3cF0X559/Pi644ALU19cnfS4U2pP1DIVC3t+5EhxCgkD6Pfts4UFxsRh9Y5ki4zgOtm3bhl/96lf47W9/i0gkggsuuAAXXHABamtrvc/L/Iy+OR3HQSgUShIa3rzENigshQ3FxVJMYZG/5T19w3366ae45ZZbcMcdd6CiogI/+clPkkRGPqN/dNlmGo3RDck3FJbCh+JiIX5i0ttrYcuWLbj55psxe/ZsxGIxzJw5E+eddx5qamqSPid/p3ptRjQUHJIrdJ9kfytsKC6W4SccZqSS6n/Cpk2bcNNNN+HOO+9ETU0NLrroIpx77rmoqqrq8Xmpz+wGpviY6TMKDgkaRivFBcXFIlLdXKnExe9YzcaNG3HDDTfg7rvvRn19PS6++GL86Ec/QmVlZa/1m/WaQmPaRMEhA4XCUnxQXCyht5srVZTSW/Si+eijj3D99ddj7ty5GDx4MGbNmoWzzz4blZWVPUSjr2jG731zNZv8zxQdQvygsBQnFBcL6EtY+vOeHxs2bMB1112HefPmYejQobjkkkvwwx/+ENFoNKk8IZXQmKvXeutC5ue4Qo0InF8pbigueaYvgUjn/UxvzA8++ADXXnst5s+fj+HDh+Oyyy7DGWecgYqKiqQ6BXP+J5P3/aKaVIJDB1M6MFopfigueaYvcUjnfaB/N+m7776La6+9Fg8++CBGjx6Nyy+/HN/73vdQVlbWo3zBFBLzGL+5oUzel2MoOMULhaU0oLjkkXRusnQik/5EL5p169bhmmuuwSOPPIIxY8bgiiuuwGmnnZYkMtpeIV2h0Uuo+1qF5neMvE/BKXwoLKUDxSVPpHuTpSsu6ZTVF2vXrsXVV1+NRx99FBMmTMDPf/5znHrqqYhEIr71Cb3NBw1ESHRZvYkSBcd+OL9SevD7XPJA0KM3c3Nlf5k6dSoeeeQRvPbaa2hubsb3vvc9TJkyBQ888ADi8XhSfdqhp3L+5mNm5JhEIuEdGwqFEA6HEQ6HvWMBIJFIeD9yXCQS8Y7Vx8XjcXR3dyMej3uf4ZjJHvw255Lih+KSYzIRlnw5yOnTp+Oxxx7Dq6++ikmTJuG0005Dc3MzHnrooR7fJZOp0IiAaKERMdDH+ImNiIc+VgRHl+snOH2taiPZgWmw0oXikkOyeaMFFb1oDjroIDzxxBN46aWXMG7cOJx66qmYPn06Hn30Ud8vLEtHaOQ4LTRaFLQQ9CU2IiJyrOPs+coBLThiRzwep+DkGApLaUNxyRH9vdEyOT5bN/EhhxyChQsX4u9//ztGjhyJU045BQcddBAef/zxlM451bxJquNSRTX6c35iIwKixUY/CVrSaKbgyLF+gkMGhnnNSGlCcckBub7RsuUgDzvsMCxevBjPP/88Ghsb8a1vfQtf+cpX8Ne//rVPkekrmtHHa6GRz5hRjS47HbHRczciNqkEp7u7m4LTTzi/QgSKS5bJtbDkop4jjjgCTz/9NJYtW4aamhqccMIJ+OpXv4pFixb16oj7IzR9LQpINbdjio2ei/Gb50lHcCTSoeD4w2iFaCguWWQgN9tAnVcunN83vvENLFu2DM888wwqKirwzW9+E1/72tewZMmSPutPN21mHt/XooBUn9Er0qQ+P7GRz2nB4Qq1vqGwEBOKS5bJx82Wyzodx8HRRx+N5557DkuWLIHjODjuuONw5JFHYunSpWmLTLrRjP5cOosCUn2uN7ExoxNTpNJdoVYKgsP5FZIKikuWsMGp5NIGx3FwzDHH4MUXX8SiRYvQ1dWFY445BjNmzMCKFSvSLqO/QpNpVKM/29tem1SpMHNxgd8KtWJfEs35FdIbFJcsENRIbiCfz9fN7jgO/uM//gOrVq3CggULsHv3bsyYMQP//u//jueffz6jcjJJm5mf7U9UY342HbHxE5xUK9R6WxJdaDBaIX1BcQkY2266fDkux3HwzW9+E6+88goef/xxbN++Hd/4xjdw7LHHYuXKlRmV059oxvx8uosC/D6fzl6bVGX1JTiFuELNtj5O7ITiEiC23XQ22OE4Dk444QSsXr0af/7zn7FlyxYcccQR+M///E+8/PLLGZcVlNBkmj7TZaS71yadeZ9CWqHG+RWSCRSXgAjypgvaieTbKQF79pd861vfwpo1a/DQQw/ho48+wmGHHYbjjz8eq1evzri8gaTNdBn9TZ+ZdqS71yaduZ90VqjlWnA4v0IyheISADaP5vQo3wZCoRBOOeUUvPHGG3jggQfw/vvv45BDDsGJJ56I119/PePyBhrNmOUMJKoxy0l3r0065Zgr1IDcLYm2uX8Te6G4DJBs3XjFfiOHw2F85zvfwdq1azFv3jysXbsWBx10EL797W/jzTff7FeZQQmNlDXQqEbblOlem75symRJ9EBWqFFYSH/h97kMgGzdeLJzPOgyAXudRHd3N+bPn49rrrkGGzZswCmnnIIrr7wSBxxwwIDL9ptkH2hZ5iqxgZSbSgRNsexveaatusxUZfudHyGZQHHpJ9l01tkQl2yWGyRdXV2YN28err32WmzcuBH//d//jZ///OeYNGnSgMsOUmTMMrMhNn7l9nfOQwtObyImEdBA7CcEoLj0m2wKAJA90cpW2UHT2dmJuXPn4rrrrsPmzZvxP//zP7jiiiuw3377BVJ+oQiNlNeb2PS3fD/Bkd86HVgI/YXYB8WlHxSyABRC9KLp6OjAnDlzcMMNN2Dr1q047bTTcMUVV2D8+PGB1ZENoZFyU0UJQZWbDbEx/9blUXBIulBcMiQXzr+Qy88W7e3tuPPOO3HjjTdi27Zt+O53v4vLL78cY8eODayObImMLjvoqMYsuz9i09v8ill2b+UXWp8i2YXikgG5cMy5iCwKLXrRtLa2Yvbs2bj55puxfft2/OAHP8Cll16KffbZJ9B6ClVozPJ7iz70sZnU21eEQ8EhAMUlbXI14s+VuACFF71oWlpa8Pvf/x4333wzdu3ahTPPPBOXXnopRo4cGXhd2RQaXX6uxUbQe2cGUsdAV6iR4oLikga5dMa5iioKOXrR7Nq1C7/73e/wq1/9Ci0tLTj77LMxa9YsDB8+PPC6si0yuo5sCY2Q6vtv5HdQopaO4BRDPyQ9obj0Qa6FpRjrygU7d+7E7bffjltvvRXt7e340Y9+hIsvvhhNTU1ZqS8XQiP1BLkoINX8StB7bXqrP90l0aSwobj0Qq4dcD7qK7abeMeOHfjNb36D2267DV1dXTjvvPNw0UUXobGxMWt15lJozPoyiWoy6V/Z2GvTV11coVZcUFxSkI+Rfa6dfbFFL5ovvvgCt912G37961/DdV38+Mc/xsyZMzF48OCs1ZkrkdH1pSs0A73W2Vr+nKouXScFpzChuKQgH6P6fNUJFKfAAMDnn3+OW2+9Fbfffjscx8FPfvITXHjhhRg0aFBW682H0Jj1mnVmI9rwqzMbc0RcoVZ4UFx8yFe6iOKSPT777DP88pe/xB133IFIJIILL7wQF1xwAerr67Ned76EJpFIeP+Th2XmImWXC7Ex60pVL1eo5Q+Ki0E+nW0+RQ0ojRtw69atuOWWW/D73/8e0WgUP/3pT3H++eejtrY263X73Wq52Cwb9KKATOpPZ69N0PVyhZodUFwU+RaWfNUt9ZfSDbdlyxbcdNNN+OMf/4iqqirMnDkT5513HmpqanJSfzajmd76Uq6WOvdWby7FRtfJFWq5heLyf9jg3Eu5/nyxadMm3HjjjbjrrrtQW1uLiy66COeeey6qqqpyZkNQQtPbfEtvn8l1VGPWnWuxMeum4GQHigvscKw2RA422JAvPv74Y9xwww245557MGjQIFx88cU455xzEIvFcmpHf4UmiD6cr6hG15+LvTap6k5lA1eo9Y+SFxcbhEXssMEGIP9tkU/++c9/4vrrr8fcuXPR2NiIWbNm4eyzz0Y0Gs2pHZmITDauW76FRurO1V6bVPVrO7hCLTNKWlxscqY2iItNduSbDz/8ENdddx3uu+8+NDU14dJLL8WZZ56JioqKnNvSm9Dkqg/nM33mZ0OuVqT1ZQNXqKWmZMXFNmEBaIuNvP/++7j22mvxwAMPYMSIEbjssstwxhlnoLy8PC/2mM41H6NmG6IaqT/fYqPtSCfKKqX7qiTFxTYHaqM9tthiC++++y6uueYa/OlPf8Lo0aNxxRVX4Lvf/S7Kyspybos4Mn2N8j1fmO+oRuzwsycfzp0LBkpYXGy6qDaKC2CPPTaxbt06XH311XjkkUcwbtw4XHHFFTjttNMQiURyUr/ftcnmsuZMsSWqMW3Jx4o0P3tKSXBKTlxsdJy2iR1gp0028eabb+Lqq6/GX/7yF+y77774+c9/ju985ztZFZl0+i6FJj17bBAbbUsxrlAL5duAXGKjsNhMiY07MqK5uRl//vOf8Y9//ANTpkzBd7/7XUydOhUPPvgg4vF4oHVpx9NX3zUdkd8oOVeILaFQKOkLyVzXRSKR8L5TJlf2aXvC4TDC4bD3WByxKR6PJ9mWC5vEnkgk4tklbSU2dXd359y2gVIykUsikbB2BGBrlEAxTp/Vq1fjF7/4BZ588kkMHjwYzz77LJqbmwdcbpD7VwQbrqcZ1cg9IM4+X/hFEa7regKZT5v8/gaASCRixTU1KanIxcYLADBCKAYOPvhgLFiwAHPmzMG2bduwe/fuQMoNYuChUyu29LVUUU2+8Yts8t1mup10hBMKhZIeTmobJSMutnReP2y2jWTGKaecglAohHfeeSeQ8oLuG7b2NZvtCofD+TajB2JXOBzOu/ilomTEBWCEkCm23vA2U11djQkTJmDt2rX5NoWUADbfoyUlLoTkgmnTpuGNN97ItxkFhc1O0qZ0oh+22lYy4mJz5wXs7SAkc5qbm7FmzZoBX9Ns9Qmb+5rNttmIzcJXMuJC+o+tnddWpk2bhm3btmHr1q35NoUEgF5CbRs2D5opLhZgcwchmTNt2jQACCQ1VioT+oDdo3DATnERbLSN4kJ6xWZnZCvjxo1DVVUV512KCFvvA5ujqpITFxsvAikuQqEQmpub8eabb+bbFBIgtvoOWyO+khMXm7Gxg5D+MdAVY9nuCzb2NZtH4bZGLoC9tpWUuNh6EUjx0dzcjHXr1qGrqyvfppAAsVH4ADvtKilxsRnbhc/Gzmsz06ZNQ1dXF959991+l5GtPmFzX7PVNlvtAuyN+CguhGSBqVOnAghmxVipYZuTFGyd27BV+EpSXGzsIDZja+e1mUGDBmH06NGc1Cc5wza/VpLiQkgumDZtGsUlQ2weyNgauQB22kZxsQzbOgjpP/1dMZarPmBzX7PZNhuhuFiAzSMj27Gt89pOc3MzPvnkE2zfvj3fppAAsHXiHLDTr5WcuNiMjR2E9B95DEx/UmPZ7gs29zWbbbMdm4SP4kLSgjd85kycOBHl5eVcMdYPbHKSGhvTT4CdUVXJiotNF4EUJ5FIBFOmTOGkfpFhq++wbQBYsuJiM7Z2XpI5mU7q5/ra29jXbByFC7Y5cBOb2qwkxcX2DkKKh+bmZqxduxbxeDzfppAAscmJC7al7EpSXEj/sanzFgLTpk1Da2srPvzww3ybQgLA5oGpbREfxcUybO68JHOam5sBZPYYmFz1AZv7mm2jcBMbbbPtepa0uNjYQWzGts5bCDQ1NWHo0KGc1C8ibL8PbPFrJS0uhOSCgX63SyliswO3OaqyyTaKi6XY0kHIwEn3GWP5uuY29zWbbbMRm0S5ZMXFpotQaPCGz4zm5masX78eu3fvzrcpJABsmzjXMHIhvULhKy7kMTBr167t89hcX3ub+5rNttmODQJDcSEky0yePBnhcJjzLv3ABifph00RgsamqKrkxcWGi1BIcDSZOdFoFPvvvz9XjJGcYMs9WvLiYjMUvuKhrxVj+b7W+a7fD5tG4Sa2Ri6CDbaVtLjYovCk+GlubsYbb7xhxU1PgsPG62mL8JW0uJD+Y0PnLSSmTZuGL7/8Ehs3bsy3KSQAbB6Y2mIbxcVSbOkgJBhkxVhvqbF8XXOb+5oto/BU2GibLelEigvJGJudka2MGjUKdXV1XDFWRNh+H1BcLCDfF4EUP47jpL1TnxQOtvoOGyI+iovl5LuDkOBItWLMlmtsix0aW1I8ftgcudhgW8mLiw0XoVCx8Ya3mebmZrz33ntob2/PtykkAGwWPiD/dpW8uNgMha+4mDZtGuLxON5+++0e7+X7Wue7/t6w2TZbsUH4KC6E5IipU6cCyOyLw8ge8j0KT4UNcxt+2CDIFJf/w8YOYjM2dN5Co7q6GhMmTOCkPskJ+RY+igshOYRfHJY5Ng9k8u3A+4LiQnrF5s5LMsMUF9uurW32aGy2zUbyLXwUF9g9MrId3vCZ0dzcjE8//RRbt27NtykkAGyYOE9Fvv0axcVy8t1BSLD4PQbGlmtsix1+5HsU3he0rScUF9JvbHZGtjJ+/HjEYjHOuxQRtt4H+Y6qKC4Km0cfpDgIhUKYOnUqV4wVGbb6jnxGfBSXAsHWzksyRyb1bb2mNtqV71F4b9gauQD5tY3i8n/Y3EFIcdHc3Ix169ahu7s736aQALFR+ACmxUgv2C58tt5UtjJt2jR0dnbivffes+7a2maPxlbbbLULyG/ER3EhJMc0NzcD4GNg+oOtAxlbV7MxLWYRNnYQm7F51GYrDQ0NGDVqFCf1Sc4oichl/fr1OPvss7F+/fpcV90ntK1/2GqbrXYBwL777ov58+dbaZut7eY4jrW2ffjhh1baBeTRNjfHnHXWWS4A96yzzsp11X3ywx/+kLb1A1tts7mvHXjggdbaZuv1dF17bbPVLtfNn205j1xOOumkpN828a1vfQsAbcsUW22zua/dcMMNAOy0zdbrCdhrm612AfmzLefi0tjYmPTbJmhb/7DVNlvtAmhbf7HVNlvtAvJnGyf0CSGEBA7FhRBCSOBQXAghhAQOxYUQQkjgUFwIIYQEDsWFEEJI4FBcCCGEBA7FhRBCSOBQXAghhAQOxYUQQkjgUFwIIYQEDsWFEEJI4FBcCCGEBA7FhRBCSOBQXAghhAQOxYUQQkjgUFwIIYQEDsWFEEJI4FBcCCGEBA7FhRBCSOBQXAghhAQOxYUQQkjgUFwIIYQEDsWFEEJI4FBcCCGEBA7FhRBCSOBQXAghhAQOxYUQQkjgUFwIIYQEDsWFEEJI4FBcCCGEBA7FhRBCSOBQXAjJMR9//DGOOOIIAIDrunm2hpDskBdxmTFjBhYtWpSPqvvEVtsefPBBnHrqqfk2wxebbbPheu7YsQM/+9nPMGrUKDiOgzFjxqC9vR0zZszA3LlzsXDhQmzdutUaobH5etpiWyKRQDweR0dHB9rb29HW1mZFX+vq6kJbWxtaWlqwc+dO7NixA59//nlebHPcHPfo1tZWvPPOO5g0aRJisVguq+4T2tY/bLUtX3a1tbXhD3/4A+655x689dZbPd4vLy/HlClTMHLkSJSXl2Pw4MEYPnw4xo8fj+bmZowdOxb19fUIhfKTWLD1egJAS0sL3n333ZzZlkgkAOyNMF3XRTwe9147jgPXddHZ2Yn33nsPkyZNQlVVFRzHyZpNruuiu7s7yRb50faWlZUhEomgtbUV77//PqZMmZLT65lzcSGk2Oju7sZDDz2EP/zhD3j11VfR2dmZ9H51dTWmTZuGE044Afvssw8GDx4Mx3EQj8exZcsWdHR04Msvv0RHRwei0SgaGhowcuRIjB07FsOGDUNNTQ3C4XCezs4utFMPEnHKug79Wn50veFw2Puf/r/f/zJF6ovH4559Wji0jaFQCOFw2BuMhEIhJBIJzwY5Ntd9iOJCSIYkEgk89dRT+PWvf42VK1di586dSe/X1tZi6tSpOOGEEzBixAjEYjHU1NSgtrYW5eXlKCsrQ3d3N8rKyrBjxw7s3LkT5eXl6OzsxM6dO9HW1obOzk5UVFSguroaTU1NaGpqQmNjI6qqqlBWVpanM88/AxUXLSJmmcAexyyvtTN3HMdz3tphmw5c/k5XYCTaMIXDr24pS//WP9pm0y45t1xCcSGkD1zXxUsvvYTbb78dS5cuxaeffpr0fnV1NaZOnYr/+q//wgEHHIDy8nIAQEVFBSorK1FVVYWKigoAQCQSgeM46OjoQHV1Ndra2rBjxw50d3ejoqICjuNg586d6OjoQEdHB7q7u9HV1YVwOIyamhrU19djyJAhGDJkCGKxWMkJTbri4ici+vOmo+1NULSjlv+b4mFGNWakI4Kh02tSnz5ORxd+AiHHpbLfdV3vPW2r32eyDcWFEAPXdfHWW2/hd7/7HRYtWoSNGzcmvV9VVYWJEyfim9/8Jg455BDU1NQgEokgHo/DcRyUl5cjGo2isrISkUjEExTXdRGNRtHZ2Yl4PI7Kykp0d3dj9+7daGlpgeM4iMVicF3XmyhOJBLo6upCd3c34vE4uru7EQqFPNEaNGgQBg0ahFgshvLy8qzm+m1BO+NUIiLH9eVQdZQgaEGRY8x6gWSBkzSUFhH52yzHcRwvpSav/VJruj59TKq0nY6udNnahlz2D4oLIQA+/PBD3HnnnXj88cfxwQcfJDmcaDSKfffdF8ceeyy+/vWvo7GxEZFIxIsa4vG4l/eORqOoqKhAOBz2fuTmF6Hp7OxEd3c3qqur0dnZic7OTm/FUXl5OcrLyxEOh72VPyIoXV1d6OrqArDHmXV3dwPYs0BAUm91dXVepFRMQmPOiZjn1tu5mg5ZRxCCKShSj0bqFVt6m6fxq9uvDrN883z8RE6XKz86bWYeR3EhJIds2bIF9957Lx5++GGsW7fOc9rAnnTWmDFjMGPGDBx99NEYNWqUJwwVFRVJI1Ngj9OoqKhARUUFIpFI0kodEYBQKISysjLE43F0dnbCdV1UV1d7aa94PO7NtcRisaSUTFtbW5J93d3d3o8gq4YikYgX1dTV1XkRTb5WnmVKb5EI0LdzTCUOZvpJjvVzuqnmP7RDl7kZHU3osvzSZgCSIgszbZXKHj9R0f9PR4AoLoRkiW3btuGRRx7BAw88gNdeew1tbW3ee5FIBKNGjcIRRxyBY489FuPGjUM0GvUm38PhMBzHSXLmOhKpqKhAWVlZjwhFC4ukxkQUXNdFVVUVEokEOjs7vUiktbUVALz3RJTa2trQ0dEBAN5KM3GY8rek5WSpajgcRmVlJWKxGKqrqz2hyffKM3O1kx+pHKa87ssJp6rDFANz7iPVZ/z+ltcSGfhFD9rB68/4pbxM/CIZv7JStVMqMcwVFBdSlHz55ZdYsGAB7r//fqxatQq7du3y3guHwxg2bBi+8pWv4JhjjsHkyZNRW1vrRRuS8tI3p3bcMq8iwiPRSiKRSBKWRCLhCVMkEvEERMqrrq6G67reHIz8v7W1FZFIBLFYDF1dXUlRT1tbW9IyUylTBEZjik5lZSWi0agnNHK+2SJTEZHP9HasHOPnUM36/CbZ/erQApFqXsO0wXTq5vyOn7joaCbT9Fhv0Yp5vn7tY/4/F1BcSFHQ0tKCp556Cvfddx+ee+45bN++3XsvFAphyJAhmDZtGo499lhMnz4d9fX1XsQRiUQ8kZCbT5y96dDC4TDKy8u9Y2VPgaTCwuGwN/EuohOJRBAKhTzBERGorKyE4+xZOSbCAsBbKVZZWYny8nJPkGQVmqTJQqGQV7+OYvREsjhOc7OdXnQgEY0+/0zoj4jI53o7vq+69PyH6Xx7G92bIpLKDnPVVbpioG3wS5X5naOf4Jnn7Jdu6+vzFBdCMqS9vR0rVqzA/PnzsXTpUmzZssV7LxQKob6+HpMnT8a//du/4dBDD8WwYcO8ORH5kY1nMnrXTtoccZaVlSWlyCS1JIKgV2p1dnZ6E/ziyOPxeA8HH41GvYl6qVvqb29vRzweRywW8wTLdV1vor69vR1dXV09RrIiJGKbCI0eVYtYiWOW1F4sFvMWJPgJTX9FRH8+1WdS4ScWcn6miJpl6VSVXzlm28nrVBGIn23pRjlmeanoLdJKNW/Sm4BQXAjpg66uLqxatQrz58/HkiVL8NFHH3nvOY6D2tpajB8/HkcddRQOO+wwjB49GtXV1UlCIhGEOBydI5cUknbSrusiHA4npY9EXLRjKysr8yIImXiXNJak10QI9Gej0SjC4bAXucj/5XdbW5u37DgcDnuRj15NpleQaaeod3brqEjOQ8/Z6OOlnSSFJhGNuSCgNxEB+h+VmL91m+jj5PppW9Jx4uZ8i940qcsyI6Tezs8vmuirbfpKb+lye4ucTPEw6+7r/WxCcSFWEo/HsXr1ajz88MN48sknk5YHO46D6upqjB49GkcccQQOO+ww7Lvvvqirq/PmS3SaSwRFi4mkqXT3FwcuTkdWWekyHMfxIgKZCwGSn/ckwiJlSJpMEGcpaTkRFzk/WXrc2dmJjo4OlJWVIRqNep9NJBLeOcqCAG23nJ+OhsRGERE5TkdL5iY/sb+ystKzVerVZCIk5rE6kjOdrl+qp7dVb+ZnzJSUn12pRvOZOOq+0mZ+5Zops97eN48xy0t1LjqdRnEhJUsikcDatWvx6KOPYsGCBXjrrbc8h+w4eyajR40ahYMPPhhf+9rXMHnyZDQ0NHgjaxETiSzEEclrQW44meQWRykT4zptJoiwAHtTTVKflCmRgIgJgKS5FqlD/5ZFAbI02W//hOxziUajXhQkdUlE5bouurq6vGeaaYcSCoWSxE2isu7u7pTpJC02Up60ZVlZmbfs2hQaM8+v8YtGTCfnJw46kkyV2jHPIVVqSK6ltsM8d328n4iY9aXrsP1Ezy+t1tv5pSqzt6iF4kJKDtd18e677+KJJ57A448/jtdff91bagvsmeweOnQompubcfjhh2P69OkYNmwYYrGYF5GI8xYnrx2q37JQccriKPXI3nEcb/OjdmJ60lwLkhYliVokPSbLgGXXvjnprMUlEol4cy5yjIiVzLV0dHQgkUh4cyFynNQp/5M9M1pIdDQjTl3PQ0i6TguobhMzNSXtIgJcXl7uCU268xvyW1JS5vF+IiHv6cilLyeZaj7EFBv9Wq6DOZmfqs6+HLafqPi9lyqCSkdYUn3eFJfe6skGFBeSE1zXxYYNG7Bw4UL85S9/wcsvv5y01yQajWLw4MGYPHkyDjnkEBx44IHYZ599vCcCS1SiJ9S1o9M3jDn3oEfKetmwnjORyX3txHQaTIuSdsIAvGd/iRhImY7jePMkepRqOmhZSiwjdBEoOSdJezmOg2g06n1eFgnoR8zIvI+UZzpGbZM4eBFO/aQBOT8ROn3OekLddV3v2sjTBWROSEcefv1BC0tvk+h+qbC+Rvg6+vNzuuYIP1VKze/zZlnmMalScH6f9Uuv9VWneQ59RWD6PYoLKQo++eQTLFmyBI8++ij+/ve/e08Pdpw9+0Tq6+ux77774pBDDsH06dMxYcIE1NfXIxaLeXtE9ES8fBbY+5hxM22ilwbr+QWJVPTEvXaCgpQh/9PHi2AAe58lJSvDJB0mKTMRKi0aghYq2f/S1dXlRTHiaMSpx+Nxb+I+Eol4AqPnVXQ7SVSjRUs7FxFmERRg7+PjdQpPzkM/asZ0TuaSbblmIjKp5mh0qsbPkZupHD/8HLpfWk3+n8qR+znhdB1wqnL6KiNVVKcjzb4+25dgUFxI0bB161YsXboUf/7zn/HCCy9g27ZtAOA55traWowdOxbTp0/HQQcdhH333RdNTU2orKz0JsYlYtCvzR3Q4qz8Rmpm+kpuVEk9aaful2LRqR0RFvM5YVK+rNKKRqNeNKBt18KknZ8+TsSgo6PDExJgj5MW4QL2pqq6urq8eQ9xRCIi2k6pX4RJ3hcb9HOu5PNSr7ShCIpeZaedtN5YqlNngnxGb0wVQfdbpdWb4zP/rxd3yDnJa1OU+koP+UVP6ZKJoPgdb/6/r530fsKSqt5UURXFhVjP9u3bsWzZMjz22GNYtmxZ0l6TsrIyb0XXlClTcOCBB2Ly5MkYMWKEl+qSm1nvNzFvcH2MxkyB6NSTnjeRVVQiTuLQgZ4OyW8FlelY9aR7PB5HNBr1/tapNHHagumAdToOgCcuEuVIii0ej3sbKfWjY2S+RtpIBELKkPSfjmLEdhEQLTJAzzkpU3i0wOvIUDtznYbU11CLun4Sghk5mtdWt5/fay14faWFMhGvdPATrd6O7Q2/KC3V+aQrFr2l7HIhMBQXkjY7d+7E888/j//93//F008/nbTXJBKJoKqqCiNGjMCkSZMwffp0TJ48Gfvssw/q6+sRjUaTUg7a2fjdLFp8zFGmTjnpG1xG7Tr9BaDHiF5sEPT/9edEWOTGlyhE0kSyVFkvTdbRjTkprtNjZlpOFjOIUEi9shNfyuns7PT+J+kx+ZyOUPT8kIiUni/RoqLbQKfGzBSafF5s1oJrOngdmeivBZb35HrI8mZTaFK5Jf2+XnGWTqrLrwy/9/uiv9GKFhDzb31sX+/5ldubjfkSl+w9WIgUPK2trfj73/+OBQsWYPHixfjggw+SooCamho0NTVhwoQJOPDAAzFp0iTss88+GDp0qLeqC0jOY+tIAOi53l87GHHG2hFKVCEpGb2HRZy+uSFQO06NjDilHj1/oBcPmI5MUlOykVG/p9NfekTrl3LRDtFcTCDRi9imvy9GBKitrQ2VlZWe3Todp+uQKEHOQ7eRFgixR+aBJDUmZUjZkmrTKS99feS3iJNObZpPD+ju7vaiNr0wQM+nCSJgqZx7KtFIN2XUF36RULrHm69T1a/7hBbsvsTWRhi5EI+Ojg689NJLWLRoEZ588km8/fbbSaP/WCyGhoYGjB8/HlOnTsX++++P8ePHY/jw4aipqfG+bVFG8UDyKFU7IJ2K0pP15s2klwzLCFqLkF7tZEYq4lBNzPSOHq3rEb9OrYnt4ggrKyuTdt3rVJJOkwHo8beUKwsEzLSW1Cmi2NnZ2cO562gpFoslrVIz51j0nh29/Fqfs05lmfNLei5FC65+T19nHVHq6yp16QGC/E9+S7/QT0bIZI5G15OKTIWlP1FAJtFKX5/1S731VU5vkVtvqbQgobiUMF1dXVi9ejWWLFmCv/71r1izZo3ncMLhPV98NWjQIIwbNw777bcfJk+ejIkTJ6KpqQmDBg1CZWVlj70NwN7vLtERhUacnjgwYG+UkiqaEAemHZA4OD2i9xMyc+Jez23oJcla8MQuve+hs7MTjrNnQ6d2jmbEpZfqOo6TJBSy4kvmUqTsRCKBjo6OHqvHxAaJKKRc/XwwSS1JO8gXkumFEH7zM6aoyrloYdApQ1nAoNOW0g46fSfXQTCXg+t+ot/XfUgvNdcpNDMS1dFKb5GKJh3nmk7qqzdxM0lXWMxyzPsi3XPQgzSKC8k68Xgca9aswdNPP40FCxZg9erVXq5fNsTV19dj9OjRmDBhAiZNmoT99tsPo0aNQkNDA6qqqrzUi9k5U02W65Gknhg3Uxhm6kvPWQB7J/3lM1pUtAPSE7xaJMTpCWYdWvD8HKw8okXmjvSSYYmQdNpMIi5JBUn94oRl170WP3nUiynUjrNnybNOe7mum/StlLIBVO9VkUf561V2etGCFmgtMtoR6iXJIhA6WjHnpMwI0lxlJsfpa6nPV8o2BV+uoV4UIH0uU6edTtQgpOPAzc/5CUl/03CmvZlEPxQXkjUSiQTWrVuHpUuXYsGCBVi1apX3ZVSSK6+vr8ewYcMwYcIE7L///pg4cSJGjRqFoUOHorq6Omki3hwdOo7TY/StO74ZCWjn7neDaMekyzDTTXpSXEcqWhTMiElGwlKvOHwAScuexTY96ped7+LA9SZEM8UmztdMb8lvma/p7u5GLBaD67pJK8Z0Kk+Olb91XSIsel9KZWVlUttKBKMjGh1dSPtIGWZkottZ/qcFQs9t6T6gr5NOF+rBg74WeiAg11kfp+fd9CDEFBu/lWeadNJYqd5PVZ4ZtadKg2VSri5fp8QyKYviQgLFdV289957WLZsGf7617/ihRde8DYuipjU1dWhsbHRS3VNmDABY8aMwbBhw1BbW+vtOTHzvTpFIRO42hHI+zptBfjPo2jhMfPvpsPWomJGIXp1ljnK0/aao0dzaa2ZEtKRRjy+52uJZUOgOTdiOrSOjg7PMWsxkUn5zs5OVFRUoKurK2m3PQAv7QbsTcPpkbnYYS6HFgfsuq73HTFio/kEAHOVmHnOup3NZ6eZ10anFeV8zchPP9pGz2VJufpH22MORsyIRg8EdGTmt/JMX3s/R6vbIhP8VquZ7dqfck17zRQZ0PeenN7OK1fiwtViBc6GDRuwfPlyLFy4EMuXL8fnn38OAN4N1tjYiCFDhniprgkTJmDcuHEYPnw4Bg0a1OM71s2xhtykOkIxc+jaiae6ebX4AHsfFKkdiXZcUo/5+BSdXhNnqB2yma7RdvilW0x7tRMV5yjCLDZLNCP/06NuvSBAhE8cvClyYo858pfP6TSXjjZ0uk8ES6IjmcvRzl8/3FKulW4j7Yjl+sgTAczIw3TwOl0m10vOR/qNFkH9JWdynnruRq6TOSjQEZ1ERbrtpC+YKwXNr1kw+6V8NlN0VKfLS/W6P/gJlzl48iOdeCEXAsPIpcDYtGkTli9fjsWLF+OZZ57Bv/71LwB7b6aqqioMGTIEI0eOxLhx4zBu3DhvRVdjYyOqqqq87xExR5DawcioVzt6PycPoIeT1iNRv4li/WBFv0hFf22vKTzmZLE4IjMFpu0whUU7Gv23+dj69vZ2hEIhbxWcOEaxXa9YA/Y6PREFcXh6GbE8bLK7uxsVFRWe89cT4xUVFZ6o6GjFdV0v8hGRkXJFYCQi0uekV3GJyIntWjh0FKLbw3X3LnMGkkfsfilBcwGCnnPx60d+ZelFEWa6Ul9fPdAxr4fug+YXxMk1zBRzsKTxi176g58wpUqR+dVhuvRUAz6KS4nz6aefYsWKFXjqqafw1FNP4eOPPwawV0xisRgGDx7s7TcZPXq091iV4cOHo6qqCtXV1UkjRe3oBXlfOwRzFY92RKlCbb/UlwiKGdJrB+TnnMzNgNpJmXVLuX65e73vQ490tc06dSNOPJFIoKqqyqtDC4Okq3Q5smRYlgHLb506FCeoxUXKct0930Ap4hIOh9He3u6JSyQSQXt7e9LciVwjLRwyn6NFTwYKpsBIu2lnqR2ZnLe8FiGUssx2lX6j58Z0tKmviR5kiADqviToJx2Y7WlGVHqJtgiNXz+XORo9UOkLv9SdvheCcNq9lWGuGksn1ZeqLEYuJcgXX3yB5557Dk8//TQWL16M9evXA9ib5pKnBzc2NmL8+PEYNWoUxo0bhxEjRmDYsGGor6/3vtxJbloZ5eoVQjqd5Td6BfaOGs0b0C+9oP+nU1/mJL0cq4UAgO9IVdetxQJIdjK6TDPl5DdK1ukGccb6fXlsvThonc6RtvSLyMSJi/jI6i+JHsy5HC0aYndbWxvKy8u9dtBCIPV0dHR4+2xkJVtZWZknPNKWlZWVXrlSj7RjR0dH0jnr9JcZ8eloUtrevP76umhxlz6gI1S9h0b3E/l8qkGCjj6lf+g+oK+/7PWRMs3VhrpPaKHpKxLIl7CkEoxUUU460U22xYVzLnlm165deOGFF/Dss89i0aJFeOeddzxHEA6HUVtbi4aGBgwePBhjxozB6NGjsc8++2DMmDEYPHgwhg4disrKSm/PiXYQQM9VI2Y0ACRvrNOpEo2ORPzEQr8nz7LS7wHJz5jSE7RmGk3nyMURm2WZoqH/Z6bBdDRmliPpJx0JyDJhOUbmKgQdnYjYyGS8doS6ThEK7QD90ih63kiiHB0R6TkROUYWCFRWVqKtrQ0VFRVob29HV1eXN1cmn5G2kM2WZhpJt6kp+NI+us3Ebr3IwLze5ryMnJdEbPLaXGVmps308m49F2faLxGxpPJ0f9TpXrG3vb3dV2jMPq6va9DCYtbT23t+KbJUYpFtAekNikuOaW1txcqVK7Fs2TIsWrQIb7zxhjfiDYfDXpqroaEBI0aMwNixYzF8+HCMHz/eE5OqqipvIl47B2Dv6E7Qo0XtEHSqyoxg9Gf9RrJauHQqQ6+k0jewdhJ64lc7VnOfiTgkvaNdRxn6R9sj9ZlRl5lnl7KkTmm3jo6OpMePSJpFHocvmxUBJAmJ67pJUYp2slK/Fg3dxvq3FhWdNtR1lZeXo7OzE5WVlUnPIZP3ZN6lra2tx3yVREzSNrJ/x4xszb4i7SPnqBcL+DlaPQciqTRBR5TmxL7YodtY77MRRJjMfmS2JwBPYGXgI0uu9eo16ZsiNGK3XnnmlxYz6+0vvSWQ/KKWTAQmX1BcskxHRwdefvllLFu2DIsXL8bq1au9kWgkEkFlZSXq6+s94Rg/fjyampowduxYNDY2YujQod6DH2Ufgx7NmaNleU9P2OobU9+Meo5FO3DdWc38tpliMidoZdmtn4OSm9usS0cO8p6OfPTnzWPlGC1CeuRrRgO6HaQNxBZJK0laStJhMsrXTlwLiF6xJvVIykrwi1IE8/9amHQdImx6/4o44/Lyck8YZaQuEYzMG0n0o/fPiFDpc9JpOr/BhlxjSR+a83n6ekl/lfr1dTAjFVMIzT6jBwtin56v0nNDcryOZh3H8b6qQK6tttGcz5EvaZP3JRoy++9ASSfyMd/rTWBsgXMuAdPd3Y3Vq1dj2bJlWLJkCVatWuU5LZ3qamxsRENDA8aNG4empiaMGTPGWx7c2NjoiYm5bFSPDIHkTqeP1dGMOZluTr6aHddvpOQXfZjLQXVHN1dsmaN9nS6S31oo/W5cbYO2UadkdDSlj9UCI07IFBbXdZMEXFJd0k7iVLWtMukuzlpG9zJ3okf47e3t3ne/APDeFzvk8x0dHYhGo0lpMHOeRQRE/ifCIeLT2tqKaDTqCUd1dbWXypPz0o/l1yky3YZyLfV1NKNZvUlTOzzz2WF+8zFyzlq0zQGJ/Pbrw7q/yOfMPVFmOkkPfLSA6UGXHhiYkaacq98XofWH3iKOvoTH/Kxuo4GUGwSMXAZIPB7HG2+8gWXLluHpp5/G888/j5aWlqQVKU1NTWhsbMSgQYOwzz77YPjw4RgxYgRGjx6NQYMGYciQIaiurkZlZaUXwpurmqQu+Z92yukIit+Ta6UsE9OB67SBfmSKjpDkc/qm1+kNvV9Di4RO1+jzMUdiZhrMHKXJOYmD06kMfaPplIg4dkkNxWIxry5xNmVlZd4yX0Em53UqSaIVLV5yXvq66KgT6JnG1G0kbS7nZEYqco1FbOR/AFBRUYHOzk7EYjHs2rXLm4uR42TCW6IhiXIkFadFz9xLZPZLOWdJCep2l3MUsdEiryMFU0R0ykr3H4lQ9GNutHhIH5AyTaHR/VP3OVm5B/RcDKAjOWkPiQDl3uptQUBvpDO276tMLSI2RTAUlwxxXRfr1q3DsmXL8Mwzz2D58uXYuXMnHMfxvsBp6NChGDJkCOrr6zFq1CiMHDkSQ4cOxejRozF48GAMGTIEdXV1iEajiEajPUbvUo84Fz3S0s5HBEOnevRIzrzxpBz9LCw90jQ7pHYuYgeAHiNUqUvfzHoZs6RS9DnqVIpEA2I3gKTzFvxs1E7LFBN5X6eWRDCkTkntSMQibWVGKuKE9Sheohv5jAiBnvA2owB9LczRo3Yikm7Sc2IiKvI05kgkgo6ODu9roeV9/RSAtrY2xGIxtLS0eIMd2QAqtsv1rKysRHt7e9KSazMVqJ2sdmqSOtQOV7enGXHra6RXuMl1FweuRUbaQ0eJemOomTKTfqcjLHPlmhZ3v3umq6sraWWduXcnkUh47Zip0KQTlfSFeQ9r23qLXHIB02J94Lou3n//fSxfvhxLly7Fs88+i88//9zL3+rlwYMGDcKIESMwcuRIb1e8iIk8RTgajSY9ah3o+Z0a5g1oOmRTUHRE4/flW+Zo2Uw96Y5ojuz0fIrc3GKbX4QhDlw7JB2pmDe1FijtgPzmVUz7xWFIHTpFp+0VYdFRgBwv+0r0Azl12kgewSJl6CXFcqxEmzLPIc5IlgeXl5cjHo97kYQ8tl/+b47wpX4REnG+8nmdwpKIRNpe5l6APWm33bt3e6m4jo4O1NTUJKV/ZP5P2t9xHG9SW+zzi0bEXh116T4p5etydT/RfUpfYxFJPZiRssy69QZKwe8e0X3dL/rWaU5zoYG+F/S+HtlrpDHPTQtNqmN7c/6ZiIN5rmK3vocGUn5/YOTiwz//+U8sX74czz77bNIueNnZPmjQIG9FV2NjI0aNGuX9FiEZMmSIt0RY7zkRzElN3dm04wZ6PqlXT0SKE9MjQUELmL6xdcQgx4ltene8rlvnvOWm0Q7AjGR0JKL/1iknaQe/tIYpkEDy8mOxUe8c15GGHC8pGzlW2ygT4DKBr20rLy/3nKy0iz4PiQDECcn33YvT07vq5RzMc9UDCi2merGAKZoypyJzL1K3PARTT+7L321tbd6cS2trK2pqarw20avgxLZYLIb29nYvApLzFLHW52EOOCQylBWB2kmbjsyM3lK1kfxtPm1At4nuE7ofiX16XkdH3nL/6bbX9el7TK6p3CO6Xcy0tNyn0i8kvaaFpi9hyQS/CEa3Yz4iGEYuADZv3ozly5d7qa6PPvoIrut6m+gikYgnGjJv0tjYiGHDhmHYsGGoq6vDkCFDUFNTg2g0ilgs1sPJmk5ep1bMUaEOz83RoJShd2nrm1A7KS0IflGKjiL08lKp37RR58m1w/ebM5A69bnL8fp/pv1+q47Mz0lb6Fy4nlfR7annTqSecDiMlpYWhEIhL6Ukzkk/LFIiEd3m2g55SKXM28jnZEJeHJdEM4lEAtFo1HusjEQU5gi/u7s7aamxiF1bW5sXMcs8kOM4aGtrQzQa9fqJnlOprKxES0sLgD2i8eWXX3pPdpD0mDhCicCk7WQORp4YIG3uN2ksjlqnZAAkzXHp/mxeY90XzYGF9Dddl9yXuu/p+Rs9nyJRhJ7P0fX49WHdDmaEre8vc7+NOTCU47T9ptj40V9BkL4s6Db3E3dGLgHz2WefYcWKFZ6YyNf3ykbEuro6L81VV1fniYk8s6u+vt5bPlxeXo5YLOaN/HQYqm80s4OZHUCH87rjau33m8A00wtmSkHf+Nq+UGjvgyG10zUdti5bRuUAkoRIY46cTFHVZUk5Ure8NudM9M52PRKUY80RtZSXSlja2trgum7Syi3HcZLmCySqkXbS11L+J9GQfuSITllJ2drxio3aqWinKbbotjAn7rX4y0hY5l4kfSORl+x52b17Nzo6OlBVVYWWlpakPTuyklFSfNKPRAhFLGWPiHnO+rqaaT5JrWkR1UKiHbie49F9XjtonRI1j/cb2OiUllxb/Z58TouPTjPrQR+QnPYNh8Pe4EMWNOh5HX2+5oBPLwiQAYpfOi9T/MTCL6rJBSUhLjt27MBzzz3nicm6deu8yMRxHNTW1mLQoEGeaIwcORKNjY0YPHgwRo8ejbq6OtTX13uproqKCm8iXguF3DS6A5mRg/4xb7ZU8xw6J66FQztWv9GR3kOgw3GZCDVHW+bntZOQ8vXGS3lPH6/bRKcqTEGVMuWm8os6pD3ENnN+QD/ORKczTOevBaytrQ1dXV1eGkkLQSgU8kb9MtrVwqZz7nKM6VD9hMiMXjVmJKuP004b2DtpLrZKerSiogJtbW3e+YoAi2DIsvb29nbvO3ra2tq86Fc/K01SYdJPotEoOjo6kuaOdMSjFzkAyY/lkWuoU66O4ySlJ6Ue8x7QAwUtxlqw9WBH+rhuM9MO6b9ip47O9bF6IYsemJkpLZ1Sk0hUPmc+FcBMiev7We5HqUMGeZmiByepIhi/yDBbglOU4rJr1y68+OKLWL58OZ555hm8/vrrSCQSXmRSW1ubJCjDhg1DU1MThgwZgmHDhqGhocGLXqqrq1FRUZG058S8aMBeZ6nnT/QoVTq9WYYpRDo6MedGpD5xXmaUYnZaqctMfUmHMnPP5g2kyzfrAZIfZCm26fPyi9T0KNTcxS/tKA5bBEHaRu+0Ftt1mkPaWEaQ5uNF9DPDzIl983i/R5PI9ZG/9TG6LfU3cmrRM29qU1TMQYoeNUuEISInf+t2lL0wjuN4KT0ZIUejUXR1daG1tRXV1dXo7u5GS0sLamtrvb5hCoycp8zhtLe3e1/xrDdi6vkPuWZmZOs4jmeDfCmatl8PAHRbm6k3fd2l3bQQ6AGXFiWxI9Xgzc9evU9J39vmtdXvS53SltL++ovYtHDodnPdvfM0OprxWxCQDmafy3UEUxRzLm1tbVi5cqW3ouuVV17xng8lec2qqio0NjaitrYWgwcPxogRI9DQ0IChQ4di6NChqK2tRV1dHRoaGrzIREZw5qjbz4HqEZP+AZI3N8rndGc1R/5m+O/3f22L3ExAcipLHK1Or5mipSMFPeI2f/RNbraJKbi6bH2M/r9ZnhYhPRqUm1JHINqR+6WrZGSt02Wu63obG8VxSt0y0peHTQLwRulmHSJ20r/kbylTIgUAXmrNcRy0trZ6j5WRvyW9pNte2lb23siEuuvufbSLLJ2WuqUcvRtfO3/Z5BkOh7F7926UlZWhoqICO3fu9L6mQc9jycZLvShBNoHG4/GkEbpeFmxGG9LHzYl3ETCdhtVpIx256vtKO3bBzA7o/mUuTdYCogVKrquOirUT1ik/Hb2agybtE/S9qfuMmVbTvkK7YvPeExHsTWjM+8kc2OnjNIxcFJ2dnd4jVZ599lmsXLnSu6nLyspQVVWFyspKT0wGDRqEUaNGeau4hg8fjurqatTV1XlLhCsqKpI20ZliojskkPxgQjM9pqMPQXLK5sowPTEvx+jOp28y+YwZ+egOKB1PJoXNG0SP8sRmc/SkO7r52mwbc+5Abl49dwPszVXrvLKOOHQqQs5BO31JqZijXFNYxOGZKRlJA+nNco7jeHsUJLLRqTT5vLZXnIw5UteOTY6ROszUoL4epjMQ5Hzk+uiNmdJPtA2SMpP7QAYWsvdKljRLSkzuE5mLkX0x0n4dHR1JEYyIikQwsnJSyhUHqvuy4zjetZM2lnOUJwtIqlNHG/J5EVzdDmY/1NdHPqPvC90/zWhd6pFjdTpUL1zR/UVHqzrC0jZpG/RWgbKyMm/uSvqqnI/2F6kGa3q/jY5qUmGmunU75CKmKAhx6e7uxj/+8Q8sW7YMy5YtwwsvvIDW1lYvwojFYqivr8fQoUNRU1PjbV6UJcPyFb41NTUYNGgQqqurUV5e7n2lr5DKiZodTHcgPVLTKS+zA5qRgxlSC2YuWH8OSO4w8lrKlNVOZthvnoOMgkzRlHL1iF3e16M63fnltxYPOS9dtrSNtkvboz+vnac4MH2O0k5aWHSqSjtmiRocx/FG3GK3Tp9Jqkc7Oi3u8hn5WxZwSEpMzlk7RHP0aaYR/a6v7l96oKGdp7SRdoKSipFVafr5YxLZmJsrzfkXESEAnpDIZ8QZSjQvAhOJRJKulV5wYA4CdApTrpUsntBpRr/PiEj7RXnSdnrgIf/TgmHOl0g/Mu8RvShDl6nPRyIdnWYz54p01CJ+TPqlLG02IxozHaoHJIJEfnLv6NSZGYXoSMxPYMz/B4mVabFEIuE9UmXZsmVYsWKFF85LdBGJRNDU1ISamhrU1tZixIgRSXtPGhoaUF1djfr6etTW1qKiosL7AXo+d0r+p23obcQux+vIRXdCc85Bz7eYo1S/eQ5dl5mukvJ0Pl4m6MVWfcP41SN16QhFj9blf2be2y/VoEVFt6cecZrv6VGqHtlK9CDzKxIlmCN5M0evU2H6uNbWViQSCa/f6PaQZ77JJLjjOJ4jNZ2a/C03tXYMIjStra2ew5SoSx7JIiu1EomEt/FRHI/ZRtKXZBJdO20RAEmNyYhbzr2lpcWL0GSOTWyVCMVxHOzevdtbkrxr1y7E43Fvg6UWTFlurdOE4fCevTXyrZmSvhSnKcdJGXoAoB2wHgDIoEiv0NPRuY5oUkWLghmd63Y1Ixnd//1+pF/qQZP+vNxrUp9Om+l70PQRpl8A4PV9LZA6ovE7T3PgqlNn+l43BzGCX/sFhRWRi+u6ePvttz0xWb58Ob744guEw3se8hgKhbz5kZqaGtTV1XlzJbKKa8iQIYjFYt7Krmg0ivLyci98N9MQumNoR2l2HtOZmhGK3DCpPmsKih7Jmqkq/Vl9sXUH0uWJk9Hlmc4b6LlaRXdw/dpMAem20e/paEXK1sf5pZR0W+vRuN6IJg5e7xExhUXvbfCLcvTIuaOjI+nRLuaS5nA47ImJ67pJKQ9trxnh6claQa+EMvuWmUrVo1HTWfgNZsxIT0RYi55ENfrpyDrXL05H9s9UVlaitbU16fljeoOliKY8TkYvQZalzsDeeSU9XyWRoGmfXD8tPtJX5DroVKicr/lsNcdxkqJZff460tbOV98zYoe0rfxOJTB6KbO+L/RgUvqw7v+6brm+euAnbaQHDtJ/5PqaCxVM/6X9k9wL5soz817WmOIbJHmJXFzXxQcffIDl/7dxcfny5di6dStCoRDq6+u9TilprdraWtTX12P48OGora3FkCFDMHToUMRiMS86qaqq8t1zYoaK2lGYN76+4XWH1IICJDt7c6SiL6rufLps3QH96tblS7k6GjBz+PqmMkdF2knpEZHu/DqtYwqujlx0ygdIXuki9mnnrs9Nly+jVu0EUo18tWPSbWrOPWinJSNpebSLTExrJy3OMhQKebls2alvRi06wtIbK2XjpEQTMi8h+XGZRJfJeYk0JHIR0dRtKX1Uyhe75Fylb7e1tSVFFHpyvbW1NSl60WIg8y2RyJ4nJ3d3d6O2thbxeBy7du3yli1LekzaVdpLPwcsHA4n7eSXFBmApJVWqeakdJSshb+9vd0THDMS1Xt+5HO6j+ooQfd1c55Ri52ffzLvc32/ii9Ilb42/YS+78z7yy+akXbX95uZmTD7i9/AT9+bptiY52r2vSDIWeTy0UcfeWKybNkyfPLJJ3AcBw0NDUgkEhg8eDBqamq8L8Oqq6vD8OHDUV9f7z2GvqamBtXV1d78iTz4USYt9YUVzJGJmQoCek5K606gR87SufRkrdw4urOJI9DH6A4n7+nRltStox/9ORnhaEebKroxH59i5qHNJZU6KpBObj5vSguC6SxkhGw6EjkHM3WmR/kSfUnO39wLoUeF0u6msMhIXuro7u72Ukry/R1SRiKR8KIWmdcA4K3qMielTeE0R8pyzfVKqFQpDfM66T6q+4BgnrPun9qRm+0v7Sr3hYiPTgGGQqGkiEUWwej5Fx3BAEgSHBkhS7vJ4EAiHXnSgZyDnn/QfUjek4l/vQpPpxZlQGBGsno+STtkaTN9T5gCIYMaM7KXa2GmlrUwiWhrZ60jHR39+83N+A14pX/6+Q95koS0kd5Do6NaM1Wv+7F+HI3fo2hMgRsoWROXLVu2JInJhx9+CABoaGgAAG9DYlNTkycYQ4cORUNDgxex1NXVeUIjYiIhvTmBpRtF/zbTVeaoXt7TUYV2ZjosFuSzulPqDiHH6NyynuA1xUjsMsuWDqFHXXJTarGUz5mCI3bJsZJC87tBxQZzFKjbUDqlfu26bo/vB/ETBPmcft6UTOTKPIBOD6QqRxyUKRA6XSX7KCRSkPPQEZJEKeJ0tXjqttWiIOchx5rtLI5W0J810xJ+o1gTsUO/1qKmU2PiYERcJJUlAiPtLlGW7H3R6TFZyST7X/T8jlwTWYGo+4hEGBKhyZJp2fGvRcXsP3Ld9eBDBEe+j0YiPb2p1Xx+mbmKUF8jcaD6njOfdKCFy7xG0q46MpL7xRQZ7VO0bzFTZjpzogVC3+NyrPmlbDoi1YNOnT7U7anPSd6Xh6fKPaX3ZgUlMIGlxbZt2+Y9UmXZsmV455134LouBg8e7BldXl6O4cOHe4LR0NDgPZpefsdiMW/PSSwW81aESVhvKq3ZCDqUNE/NXB5rhovawegoR3coLWpmJGSOQICeE4D6Pb/PSaeSyT39nkbbZYb20imlbfTN65cS0J1aypZ2NG9CnV7S5ZrpElP4TBtkFKydvB7laaHTozRpGxntSj1SbmtrKwB4mwnNVIwszw2FQt4ksn6EhxZXfeOLI9cpMRnhi9hFo1Hv3PSxMtEvI3BZaSXnox2BmS6RSXgdPctgQKfGxEHK6F3mm2Qhg37SsjgXER55akF1dTUcx8HOnTsRCoVQU1OTckAg56pTVrJBUvbRSPuK4zJTpvra6K8R0AMNaXuJGnW6TYuT9Dt9HcWZ63tdvxbnbEYNfiKj+4P2C/pelD7rN88q6AGgjma0H/DzbamyGhKpi7/QZZnzSn426XtaD67NNugP/RaXHTt24Pnnn/fE5I033gAA1NfXex1AVnTJjvj6+no0Njairq4OjY2NqK+vR01NjbeUWL4XXtJdctFN5fU7aTNCkcbSqR4g+bvadWShBUXKM0c8ugOaoxJ94bRj1/aIDamijVSpLz2a1udhjnrNuv3SWPJZ7Xj95kd0msWMHHRorzc3Slv0lnaT/LGkO3Q9fuk1c4+ERCx+X6fc2tqKeDzuPXBUC6FENFoIZWSv69UrnLTIipjoZcs6JaTFRDtyAGhpaUkaeeud9NKXdL3SXwB4Gz/FUep5F1lqLAsW9GS167rYvXu393UC+rMiPiISALB7926EQiFvQ6XMv+iNovJZiV70o/6lH0lKUvbUSNvovTAiInIvSB9NJPauJtNiqleumZGu3EMiFGY0a+5Z0cIm7azr1ddE+qTpIv3uOUH3SdNBm87fHKTq9/UgWv/Wx+qBpx6I6b012lfocvQ9La9N0fRLn2VCRmmxp556CgsWLMArr7yC1atXIx6Pe/MfQ4YMgeM43jO55MuwmpqaMHjwYDQ2NqKqqso7vq6uztu4KL+lsXWD6kaVE9aNrB1vqnSTjlC0w/MTFS1KOpqRkZTUo+dapHOandAvvSJl6xGK3puiBUcLlJlTFcxoQjtkfQP7OTA/h6ZXn0nqQW40AEllayHRzk8LiU7jyHmKk9bzJDq60ZGD1CVioEfqci0kYpFnhsn1120sK5nE8Zq7+PVgQo9Spa/o9tJzbjq6k//p6ELbqa9ZJminqcvTCwl0G8q1ikQiScuZdeQmT1mWyfjKykrs3r0bbW1t3vcOtbS0wHH2fu+8/mxnZ6e3YEKXLaLS3t6O1tZW7/l9cm313IpOB+lIRG/m1E5Q0mTyVQjyKBopS8rW80t+4qYjBF2v3MfStolEwpuj0M5Zf1ZH9SJQco3N/TLyntzrOjoTITMHr0DPuR8tejo1JnZq0dc/Yr/c11KmHqTK+UhbaLHXdqZDRnJ0+eWX47bbbsOECRMwe/ZsTJw4Ef/4xz9w2mmnYc6cOZg6dSpuueUWnHfeebjuuuswceJEnHTSSTj55JNx4oknYsyYMZg4cSKmT5+O/fff33uWV1NTE6qqqrzRkKz4ktGSbNYC4G1+lFCwsrIS1dXV3knLnIweXenHwMiFkvSJrOjRO7jNx77IaFNuHLFFL+/US1u1EMqNKCNZs+zu7u6kx3CIw9CbrNrb2xEOh71Rpjho2U8h7VRWVoZdu3YhkUh4G0R37NgBYE+aSFIgYpeMfsVW2Y8hDkQ7DEmJiIORNIie5DZFTR4RL+Igeyvk2sqj5+Wz+kYWJyodWe+DAPZ+Fa04+F27dnkOBtibCpSbWK6v1KW/q0WLopnOkzbSAtLR0ZG0wENWN4nDkUfVA3tu8NbW1qTX8lRmqVtShEDPkbCk3PRrOV4iEBFO6Yv6kTm7d+9OOl7bGgqFsGvXLi+ScF0XO3fu9CKa7u5ubN++3RMFsUX6cnt7u9eOErVI3ywvL8fOnTuTUnVSto5E5BrLdRK7xbFLlKoXEMRiMbS2tnqPtdEr36Rv7t6927v/Hcfxvi1WypZ7SvqmrAKUTabyJGgRYek/0u9d1/XqklV9kr6UaFMejvrll196dYkg6Mf/6GetCXL/Sl/TT1qQ6yFiKb4C2JNRkusr/5evUE8kEti5c2ePaFbaWJD7X8RERF4GH+mSUeTy1a9+FV/5ylfw2muvIRQKYeXKlbjpppvwxz/+EY7jYM2aNdi9eze+/e1vAwDWr1+PUaNGYd9990U8HseOHTswcuRIL5crow9pJP3FWvKjX+t14JIKEGctjSEdVx4FI691VOQ4jve+XFBJyYmDkffkIknnkLLkPbkZdESiox6/unQqTERF6haBEqcqdes6gL3hrZy3lF1ZWen9z3Vd72kEcrwWR31uYoucn9hpnqeuW89ViW16hKfPIxQKeddaXuv3dSQov6UcsVMjn5P3JQL2e1+EWZ+XOAKpSy9fNzHrlvY1r6/UJw9IlfOsqqpKqltG8/K++ZQIbYM4DW2LnxMSpE3lvGpqanq0uXw+Eokk2SJOR2yQ55Tp629eX7FP938pu6qqKun66rr09RHb9PmbbaLvx1Ao5N2vUpbsZxM79FPLy8rKvDSkaae81gNC3Y9kYYj2Hfqe0ferXEu5/qHQ3iclm3Xres00uZyHLkuO1ytjZTCsowq53rr/SVkS1Zt1a9ulTbTPkc+Yfa0vMopctFOU10mFGXk5832/G7fYSScFEmS7mGXZ1ObZtKWvsm1ul4HQV//q7TzNdF2mbZTPNtdl+bWBTdfbpr42EFsyTedmJC5+ueNMOq8fNjV8MdDP9RmEEBIoGYuLSSZikyl9CZfN2G5fIcA2JKlg3wiGbLZj4JFLEJFKfwUq089lcnyxR1hBn18mnTaIuvuTfszm9c9Hf+ltyWyuSVV3LtslF3UF0cb9tTOfdadDoOLS28mm2xDF7sTzCUd7pJShb8ktAxaXvt7nBSWEkNIjqxP6hUauzyVVfVzZYj8DjQLTbed8R5s29YdctUVfg+Zc0t+6bbhugafFbDipTMn3DQzY0RnyTa4cdi6xaR7ENtgWxU3elyIXE6V0rpp8Lowo1TYnuWcg/byQ+2l/bc/4aWR9NRr3tRBCbId+KPsMKHIB+rfPJVdLjYuB/qQOSrGdUsG22EumfamQ0lb6wYv5olTrTkXWJ/Tl/ULqqIQQQgZG1pciE2Ij7JukWLElislYXPRNaYai2b5hS9UhlOp5k9yTzkMgc1k3yS4F9fiXoLDx0RWZ4tc2fZWdy/Me6DLZYrhGJBj603cK+dmB6ZLLPTMD9S1Bt3nW97nYEqIRQgjJHVmLXGwYeVDYgocrYvyx2bZ06c+ouhjOm2SHnC9FzqQzMu1CckW2rzedMBFKxbf0S1z0BH66myptyweSwsBmp2yzbcVKf9qcvmMvfu2XrX4c+A59QgghJGv7XHIRidiUH87nlyDZ9MidXH4hV5Dl5bMvZfu8i3WezKaBbT77g03toMn6l4UVyhxLqcJ5LUJINsj51xyb2Kq6xYBNztsmW4qZoNuZ92dmsJ/vJWv7XGz4Dm1SeLB/lBa83sWLtTv0S4VCGukwhZYfeI/lHpvb3GbbNBmLS3/fD9o5FLKzKWTbbaSU2rNUBb6UrvFACLKdBlpWzva5BEWhqHbQFNt501lkn/62cRAPoh1o3dkom/hjxT6XTFaLsQPkHrZ5aVJsAw9iL5n0tax+n0upkM9Hh1BQ9pKrlYq2tPlA7SjV+5VkTn/6Ws6+iVKOJyQXsK+VFqU6H2RzPw/88S9B7xYvlt3FHCHaD69RYVNI16+QbO0vOd/nkgtsVnNSXJRqXyvV8ybpk7O0WH86Y7YeHZPOsZmk80r1RiuUAUQuv3GzVPtCX2T7/tfH27btwdY5074e15WXpci9GTPQcK8YwsVML0q+z7lYUo+EEHvgUuT/o5ScXD6fVFxqDPRhrrnGZtuyiU1PFrep7oEQ6FJkwK7HfadLoQlhXwTV5sXWLjZgc5vabFs2sTntXcgD9qw/cj8TCkGICCGFB31L7sVpQOKSSCQy/lpjm748qL/poXx80RkZOLrNB9JXMl0QMhBsGTUHwUDaJMgFAbmMVHLZV/pTXjb90IAeXDnQVTiEkODhwIXYQNa/LMyGfS/5pFTPOxV0fIVFIVwvG++xQmi3bBP4Dn1CCCF2kkt/zW+izBKlcp42w2vQk2Juk1yem02DbJts0WQkLr1N4APcyZwNSrWdiu28bbnhCRGyfY8V9D4XG2/YYnOKxD7y+dUC+XzwrA0jdJvv72zYNpA2HlDk0p99Lv3tIDZf1GxSzOdt4+CglCmmZc+kb6yPXLK1OqzQO9tAHGe2nG4+1twTQkqTrE3oC6W+FJkQQkqRrD9yP5/YbFsuKYR2GMjgw4aBSyG0cTYo9K+KJtnD2i8LK7T8L51L4dZNR0f6olT7Ws4m9NPZkW+SrQn7Yln2XCznncsv5EpFfwc2+RxMZPM5Vvl8PFM2Vy7lo2/lqmxb7+/+kPEOfUIIIaQvAtvnIn9n80t3SjX1RAghhUZG4tLR0YE1a9Zg8+bN3uslS5Z4r1taWnD33Xdj8+bNcF0X27dvxy233ILNmzdjy5Yt+N3vfucdu3nzZtxwww3e602bNuHaa69Net98ffXVV3uvt2zZgmuuuSbl+5s3b8YvfvELbN68OenvVGVfd911vp+V12Zd5vu91W3WZX7WrNusK5O6t2zZ4r32K1vbsmnTph5299Wmqc7T77zNsrQtmzZtSvv6pfO+ed69XW+/vpZp3Zlc7+uvv77X691X3b1df/O8zWPNus33ta1btmxJss183df1Ns/DrHugbd7befflO8zXffU9/b6uK9N+7tcOfd1zqc6zP3Vn6mvSbfN0yEhc/t//+3+Ix+O46667vNdbtmzxXldXV2P16tW46667EI1G8c4772Dp0qW46667cN9992HlypWYO3cuAGDu3LlYsmSJ99l7770Xixcv9l7PmzcPf/vb35LeX7Rokff6/vvvT3o9b948PPnkk7jrrrvgOA7uu+8+7/WcOXO8vwHg7rvvTip77ty5Sa/vueceLFy4MOl9/fruu+9Oem3Wfe+993qv7777bixatAhz5swBAMyZMyfps+Z5m3Wb7XDPPfcknYuuy3Ec3H///Ul1L1682KtbbNHnoV+bdZt1me2gXzuOk3S8ed5mm99zzz291m3a1lvdoVAIDzzwQNL1NsvK5Hr7XaPerrfZ1/72t795533PPfckXV+z7rvvvjupjc2+Om/evB7nnapuOU+p27zHzDY3bZk/f37S8X/605962N7beS9cuDDtus3Xftc7VT8PhUKYP39+r/08k+tt9nOzze+///6kfq5tM9vcr27z/u6tX5u23HfffUl1675o1n3PPfcktbnZj+fNm9erj+2tzc3rnRZuBmzatMm96qqr3E2bNmX8eiCfZd2sm3WzbtZtT93p4Liu5UsOCCGEFBxcLUYIISRwKC6EEEICh+JCCCEkcCguhBBCAofiQgghJHAoLoQQQgKH4kIIISRwKC6EEEICh+JCCCEkcCguhBBCAofiQgghJHAoLoQQQgKH4kIIISRwKC6EEEICh+JCCCEkcCguhBBCAofiQgghJHAoLoQQQgKH4kIIISRwKC6EEEICh+JCCCEkcP4/9u52qABIXxAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 500x600 with 1132 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "eefc4650",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rewind to model version 1.1, renamed as 2.1\n"
     ]
    }
   ],
   "source": [
    "model = model.rewind('0.1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3e42f8d6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'feature attribution score')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(np.arange(n_var)+1, model.feature_score.detach().numpy())\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "plt.xlabel('rank of input features', fontsize=15)\n",
    "plt.ylabel('feature attribution score', fontsize=15)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7bf0deb1",
   "metadata": {},
   "source": [
    "Since there are 100D inputs, it's very time consuming to plot the whole diagram and hard to read anything meaningful out of the diagram. So we want to prune the network first (including pruning hidden nodes and pruning inputs) and then plot it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "9e0b3dad",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.2\n",
      "keep: [True, True, True, True, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]\n",
      "saving model version 0.3\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 11 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = model.prune()\n",
    "model = model.prune_input(threshold=3e-2)\n",
    "model.plot(in_vars=input_vars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "dd20b031",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 1.06e-02 | test_loss: 1.10e-02 | reg: 9.50e+00 | : 100%|█| 50/50 [00:17<00:00,  2.88it"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "model.fit(dataset, steps=50);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "96bf1149",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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huFCfMW7cOHzyySfKPSwnT57UuEU9l5SUhNDQUK2bQdRjkhBCaN0IIjX0xYcyh/TIX7HnQn0GX4iJ9IMT+kREpDr2XIi6qO2wG3tJRJfHngtRFx06dAhGoxGHDh3SuilEusdwISIi1TFciIhIdQwXIiJSHcOFiIhUx3AhIiLVMVyIiEh1DBciIlIdw4WIiFTHcCEiItUxXIiISHUMFyIiUh3DhYiIVMdwISIi1TFciIhIdQwXIiJSHcOFiIhUx3Ah6gIhBOx2OwDAbre3u5WSiC7GcCG6jOrqaqxduxZpaWnIzMyEEAKZmZlIS0vD2rVrUV1drXUTiXRJEnwLRtSpnJwc3HLLLXA4HADQrrciSRIAIDAwEFu2bEFWVpYmbSTSK4YLUSdycnIwZ84cCCEgy/Il/5zBYIAkSdi2bRsDhqgNhgtRB9XV1RgwYAAaGxsvGyweBoMBAQEBKCoqQnh4uPcbSOQHOOdC1MHrr78Oh8PRpWABAFmW4XA4sGnTJi+3jMh/sOdC1IYQAmlpaSgoKOjWijBJkpCSkoKTJ08q8zFE/RnDhaiNiooKxMTE9Or7o6KiVGwRkX/isBhRG/X19b36/rq6OpVaQuTfGC5EbQQHB/fq+0NCQlRqCZF/Y7gQtREVFYXU1NRuz5tIkoTU1FRERkZ6qWVE/oXhQtSGJEl44IEHevS92dnZnMwn+hYn9Ik64D4Xot5jz4Wog/DwcGzZsgWSJMFguPxTxLNDf+vWrQwWojYYLkSdyMrKwrZt2xAQEABJki4a7vJ8LiAgAO+99x5mz56tUUuJ9InhQnQJWVlZKCoqwpo1a5CSktLuaykpKVizZg2Ki4sZLESd4JwLURcIIbBr1y7MmjULO3fuxMyZMzl5T3QZ7LkQdYEkScqcSnh4OIOF6DswXIiISHUMFyIiUh3DhYiIVMdwISIi1TFciIhIdQwXIiJSHcOFiIhUx3AhIiLVMVyIiEh1DBciIlIdw4WIiFTHcCEiItUxXIiISHUMFyIiUh3DhYiIVMdwISIi1TFciL6DLMuoqqrCuXPnAAClpaVoaGjQuFVE+sZrjokuoampCR999BE2bdqEAwcOoLy8HPX19QgLC0NycjJmz56NxYsXIz09nTdTEnXAcCHqREFBAVauXIlt27YhMTERM2fOxLhx4xAaGorKykrk5uZi165dcDqd+MUvfoHs7GwEBgZq3Wwi3WC4EHVw9OhRLFy4EIWFhXjwwQdx7733IjQ0FIcOHYLL5YLNZsPYsWNRWlqK559/Hhs3bsQdd9yB5557jgFD9C2GC1EblZWV+MEPfoATJ05gw4YNmDt3LoxGIwoKCjBp0iRUV1cjOTkZ+/fvR3h4OFwuF1599VWsXLkSK1aswCOPPAKDgVOZRCatG0CkJ+vWrUNubi5eeOEFfP/7328XFE6nEy6XCy6XCwAgSRLMZjOWLl2KwsJCvPDCC5g7dy7Gjx+vVfOJdINvsYi+VV5ejo0bN2Ly5Mm48847u9wDMZlMyM7ORmxsLNavXw8OBhAxXIgUBw4cQGFhIRYtWgSbzQa3293uw0MIcdHXoqOjMX/+fHz44Yeorq7W7h9BpBMcFiP61qFDh2CxWDB+/HisWrUKR44cUb7W2Nio7G0pKyvDggULYDL9v6fP8uXLMXXqVLz44osoLi5GRESEz9tPpCcMF6JvlZeXw2azISwsDPv378enn37a6Z9rbGzEzp07231uzpw5mDJlCmRZZs+FCAwXIoXVaoUsy3C5XDAYDBfNuciyrPx/x69JkoSWlhYAgNls9n5jiXSO4UL0rdTUVDQ0NKCoqAjPPPMM7Ha78rXS0lJkZ2ejoaEBcXFxePHFFxEcHKx8PT09Hbt374bNZkNcXJwWzSfSFYYL0bcmTZoEi8WC7du34+mnn27XOykoKFDmWAIDA5GZmdluXsXlcuG9995Deno6EhISfN52Ir3hajGib2VkZGDy5Ml4++23kZ+f3+UlxUII7N+/Hx988AEWLlwIq9Xq5ZYS6R/DhehbVqsVq1atQnV1NVatWoXa2trvDBghBEpLS7Fy5UqkpaVhwYIFPmotkb4xXIjamDFjBn75y1/i/fffx/3334/i4mIIIWA0GhEfH4+EhATExsbCYDBACIG8vDwsXrwYZ86cwfPPP88lyETf4tliRB00Nzfj6aefxurVqzFo0CAsX74cs2fPhtVqhdFohNvtRn19Pf75z3/i5ZdfhtlsxksvvYRZs2Zp3XQi3WC4EHXC7XYrE/sHDx5EQEAAEhISEBQUhLq6OpSUlMBoNGLevHl4+OGHMXToUK2bTKQrDBeiy3A4HMjNzcUnn3yCffv24T//+Q9uvfVWZGZmYsaMGRg6dCiMRqPWzSTSHYYLURf997//xYQJE3Dw4EGefEz0HTihT9QNvM6YqGsYLkREpDqGCxERqY7hQkREqmO4EBGR6hguRESkOoYLERGpjuFCRESqY7gQEZHqGC5ERKQ6hgsREamO4UJERKpjuBARkeoYLkREpDqGCxERqY7hQkREquNlYURdJISALMswGAy814XoO5i0bgCRGoQQsNvtsNvtXv85vggWg8GAAQMGwGw2e/1nEXkDw4X6jPXr1+P48eOIiIiALMuwWq1aN6lHhBD48ssvsX79egwaNEjr5hD1CMOF+gxZlnHfffdh9+7dOHz4MFavXo2kpCStm9UjK1asgCzLWjeDqMcYLtSnfP3111i9ejXsdjtOnjyJdevWYeLEiX41R8JpUOoLuFqM+pSMjAw88cQTiIiIwKFDhzBv3jy88847cLlcWjeNqF9huFCfYrFY8OMf/xibN2/GsGHDcP78eSxbtgxPPfUUHA4HewVEPsJwoT7HYDDg2muvxb///W9kZmaisbERjz/+OH7yk5+gsrKSAUPkAwwX6pMkSUJqaireeustLFu2DJIk4a9//Stuv/125OfnM2CIvIzhQn2WJEmIiIjAmjVr8PjjjyMwMBAff/wxbr75ZnzxxRcMGCIvYrhQnyZJEmw2G1asWIH169cjNjYWR48exa233opt27ZxuS+RlzBcqF8wGo247bbbsHnzZgwdOhQlJSVYvHgxNm3axJVkRF7AcKF+Q5IkTJ8+HVu3bsXEiRNRXV2NBx54AGvXrkVLS4vWzSPqUxgu1K9IkoSMjAy8++67uO6669DY2IhHHnkETzzxBJqamrRuHlGfwXChfkeSJAwYMABvvPEG5s+fD6fTiWeeeQa/+tWv4HA4tG4eUZ/AcKF+SZIkREdHY/369Vi8eDFkWcaf/vQn/PKXv0R9fT1XkhH1EsOF+i1JkhAaGoq1a9fivvvuAwC8/PLL+J//+R80NDQwYIh6geFC/ZokSQgKCsKzzz6Ln/70p5AkCa+88gpWrlzJ42KIeoHhQv2eJEkIDAzEk08+iZ/97GeQJAkbNmzAr371K07yE/UQw4XoWwEBAfjDH/6A5cuXAwDWrVuH3/3ud2hubta4ZUT+h+FC1IbNZsOTTz6JJUuWQAiBNWvWYPXq1XA6nVo3jcivMFyI2vAMka1evRoLFiyAy+XCk08+ib/85S9wu91aN4/IbzBciDqQJAnBwcF44YUX8P3vfx/Nzc349a9/jbfeeotnkRF1EcOFqBOSJCE8PBzr1q3DjBkz0NDQgJ///Od4//33uYKMqAsYLkSXIEkS4uLi8Morr2D8+PGw2+24//778fnnnzNgiL4Dw4XoMiRJwuDBg7Fx40blNOWlS5fi2LFjDBiiy2C4EH0HSZIwcuRIvPLKK0hISEBeXh7uueceFBYWMmCILoHhQtQFkiRh6tSpWLduHcLDw5Gbm4sf//jHqKysZMAQdYLhQtRFkiRhzpw5+D//5/8gMDAQH374IbKzs1FfX69104h0h+FC1A0GgwGLFi3Cb37zG5hMJvztb3/Dr3/9ax4TQ9QBw4Wom0wmE7Kzs5GdnQ1JkvDSSy9xFz9RBwwXoh6wWq147LHHcOedd8LtduPpp5/G+vXruYuf6FsMF6IeCgwMxHPPPYe5c+eiqakJDz/8MDZv3sxd/ERguBD1WNtd/FdffTXq6+uRnZ2Nbdu2cQUZ9XsMF6JekCQJ8fHxeOWVVzBu3DjY7Xbcd999+Oijjxgw1K8xXIh6SZIkJCcnY9OmTUhPT0dZWRmWLFmCvXv3MmCo32K4EKlAkiSkp6dj06ZNSE1NRVFREe666y7s37+fAUP9EsOFSCWSJGHcuHHYtGkTBg8ejLNnz2LRokX44osvGDDU7zBciFQkSRImTZqETZs2YeDAgTh9+jTuvPNO9mCo32G4EKnMcw7ZG2+80S5gPvvsMwYM9RsMFyIvkCQJ06ZNw1//+lcMHjwYZ86cwZ133ondu3czYKhfYLgQeYmnB/Pmm28iOTkZhYWFWLRoEXbs2MGAoT6P4ULkRZIk4aqrrsJbb72FtLQ0lJaWYvHixfjXv/7FnfzUpzFciLxMkiRMnDgRmzdvxsiRI3HhwgUsXboUf/vb3xgw1GcxXIh8QJIkXHHFFXjnnXcwfvx42O123H///Xjttdd42CX1SQwXIh+RJAnDhw/H5s2bMWXKFNTW1uL/+//+P/zv//4vj+unPofhQuRDnqNi3nrrLWRmZsLhcOChhx7C6tWr0dLSonXziFTDcCHyMUmSkJSUhE2bNuGmm25CS0sLfv/73+N3v/sdGhsbtW4ekSoYLkQakCQJsbGxeOWVV3D77bfD7Xbjj3/8Ix5++GE0NDRo3TyiXjNp3QCi/kqSJERERGDdunUIDAzE66+/jj//+c9wOp2QJEnr5hH1CnsuRBqSJAkhISFYs2YNli9fDpvNhiFDhsBoNGrdNKJeYc+F+gwhBM6ePYuQkBCtm9Ij99xzD0aMGIFp06ZhzZo1WjeHqFckwXMoqA8QQmD79u345JNPYDD4f4fcYDDg5z//OSIjI7VuClGPMFyoz+iLD2XOvZC/4rAY9Rl8ISbSD/8fPyAiIt1hz4Woi9oOu7GXRHR57LkQddGhQ4dgNBpx6NAhrZtCpHsMFyIiUh3DhYiIVMdwISIi1TFciIhIdQwXIiJSHcOFiIhUx3AhIiLVMVyIiEh1DBciIlIdw4WIiFTHcCEiItUxXIiISHUMFyIiUh3DhYiIVMdwISIi1TFciIhIdQwXIiJSHcOFqAuEELDb7QAAu93e7spjIroYw4XoMqqrq7F27VqkpaUhMzMTQghkZmYiLS0Na9euRXV1tdZNJNIlSfAtGFGncnJycMstt8DhcABAu96KJEkAgMDAQGzZsgVZWVmatJFIrxguRJ3IycnBnDlzIISALMuX/HMGgwGSJGHbtm0MGKI2GC5EHVRXV2PAgAFobGy8bLB4GAwGBAQEoKioCOHh4d5vIJEf4JwLUQevv/46HA5Hl4IFAGRZhsPhwKZNm7zcMiL/wZ4LURtCCKSlpaGgoKBbK8IkSUJKSgpOnjypzMcQ9WcMF6I2KioqEBMT06vvj4qKUrFFRP6Jw2JEbdTX1/fq++vq6lRqCZF/Y7gQtREcHNyr7w8JCVGpJUT+jeFC1EZUVBRSU1O7PW8iSRJSU1MRGRnppZYR+ReGC1EbkiThgQce6NH3ZmdnczKf6Fuc0CfqgPtciHqPPReiDsLDw7FlyxZIkgSD4fJPEc8O/a1btzJYiNpguBB1IisrC9u2bUNAQAAkSbpouMvzuYCAALz33nuYPXu2Ri0l0ieGC9ElZGVloaioCGvWrEFKSkq7r6WkpGDNmjUoLi5msBB1gnMuRF0ghMCuXbswa9Ys7Ny5EzNnzuTkPdFlsOdC1AWSJClzKuHh4QwWou/AcCEiItUxXIiISHUMFyIiUh3DhYiIVMdwISIi1TFciIhIdQwXIiJSHcOFiIhUx3AhIiLVMVyIiEh1DBciIlIdw4WIiFTHcCEiItUxXIiISHUMFyIiUh3Dheg7yLKMqqoqnDt3DgBQWlqKhoYGjVtFpG+8iZLoEpqamvDRRx9h06ZNOHDgAMrLy1FfX4+wsDAkJydj9uzZWLx4MdLT03l5GFEHDBeiThQUFGDlypXYtm0bEhMTMXPmTIwbNw6hoaGorKxEbm4udu3aBafTiV/84hfIzs5GYGCg1s0m0g2GC1EHR48excKFC1FYWIgHH3wQ9957L0JDQ3Ho0CG4XC7YbDaMHTsWpaWleP7557Fx40bccccdeO655xgwRN9iuBC1UVlZiR/84Ac4ceIENmzYgLlz58JoNKKgoACTJk1CdXU1kpOTsX//foSHh8PlcuHVV1/FypUrsWLFCjzyyCMwGDiVSWTSugFEerJu3Trk5ubihRdewPe///12QeF0OuFyueByuQAAkiTBbDZj6dKlKCwsxAsvvIC5c+di/PjxWjWfSDf4FovoW+Xl5di4cSMmT56MO++8s8s9EJPJhOzsbMTGxmL9+vXgYAARw4VIceDAARQWFmLRokWw2Wxwu93tPjyEEBd9LTo6GvPnz8eHH36I6upq7f4RRDrBYTGibx06dAgWiwXjx4/HqlWrcOTIEeVrjY2Nyt6WsrIyLFiwACbT/3v6LF++HFOnTsWLL76I4uJiRERE+Lz9RHrCcCH6Vnl5OWw2G8LCwrB//358+umnnf65xsZG7Ny5s93n5syZgylTpkCWZfZciMBwIVJYrVbIsgyXywWDwXDRnIssy8r/d/yaJEloaWkBAJjNZu83lkjnGC7ULwkhcOHCBRw/fhxHjx7FsWPHsGPHDtTX16OoqAjPPPMM7Ha78udLS0uRnZ2NhoYGxMXF4cUXX0RwcLDy9fT0dOzevRsWiwUmkwm1tbWwWq2wWCzcvU/9EsOF+jQhBEpKSnDs2DEcPXq0XZhUVlYCaF3tlZycDKPRCLfbje3bt+Ppp59u1zspKChQ5lgCAwORmZnZbl7F5XJh27ZtGDx4MMxmM4qKigC09mgsFosSNFarVflg6FBfxnChPkGWZZw9exbHjh1TPjxhUltbC6B12Gv48OHIyMhAZmYm4uPjUVZWhi+//BKHDx+G2+1GfHw83n77bdx7770YOnRolwJACIH9+/fjgw8+wO23346ioiLExcUhKioKISEhcDqdaG5uRnV1tbJHBsAlQ4ebMKkv4A598isulwsFBQVKeHiC5Pjx42hsbAQABAUFYcSIEcjIyEB6ejoyMjIwYsQIJCcno7i4GDk5Odi+fTu++uormM1mTJ8+HVlZWZg1axZyc3Nx8803IzMzExs3bkRoaCgkSUJBQQHGjx+PmpoaJCcn4+DBg4iIiIAQAqWlpfjhD38Il8uFt99+Gw6HAyUlJWhoaIDZbEZCQgISExMRGxsLIQRaWlrQ3Nzc7sPpdCr/RrPZ3GnoGI1GrcpO1G0MF9Kl5uZmnDp1ql2AHD16FCdPnlQmzsPDw5XwSE9PVz4GDBjQ7t1/fn4+cnJy8P777+P48eOw2Wy45pprcP3112PGjBnt5k7cbjeefPJJPPnkk5g3bx5Wr16NpKQknDt3DllZWaitrcWgQYOQk5OD0NBQ5OXl4Wc/+xmOHj2Kv/3tb5gyZYryd9XU1KCkpAQlJSWoq6uDyWRCfHw8EhMTERcX1y4sZFnuNHQ8/1agdfjOEzRtg6ftkmgivWC4kKYcDgdOnDjRLkCOHTuG/Px8ZeNibGxsu/DwhElcXFynw1ZCCJw4cQLbt29HTk4OTp06hcDAQFx77bW4/vrrcfXVVyMgIOCSbWpubsbTTz+N1atXY9CgQVi+fDlmz56t9B7cbjfq6+vxz3/+Ey+//DLMZjNeeuklzJo165J/Z11dHUpKSlBcXIza2loYjUbExcUhMTER8fHxlwyIS/V0WlpalJMAjEZjux6OJ3i4ao20xHAhn6itrW03me6ZDzlz5ozyIjlgwIBOh7OioqK+8+8XQuDIkSPKkNfZs2cREhKCzMxMZGVlYdq0abBarV1ub9uJ/YMHDyIgIAAJCQkICgpSgsJoNGLevHl4+OGHMXTo0C7/3fX19UqPprq6GgaDAbGxsUhKSkJ8fHyXQsETOp0Fj6eeBoOh09CxWCxdbitRTzFcSFWVlZUXzYccO3YMxcXFAFpXTw0ZMuSi4awRI0YgNDS0Wz9LlmUcPnwYOTk5yMnJQXFxMcLDwzF79mxkZWVh8uTJvX737nA4kJubi08++QSHDx/G4cOHMXnyZEydOhUzZszA0KFDezUX4pmfKSkpQVVVFQwGA2JiYpCYmIiEhIQeBYEncDoGj2efjiRJlwwdrmAjtTBcqNuEEDh//vxFK7OOHTuGCxcuAGgdqhk6dOhFw1nDhg3r1Z0nbrcbBw8eVIa8ysvLERMTg+uuuw7XX389vve973lt4ruwsBDPPvssVq5ciYEDB6r+9zc1NSlB41kmHR0drQSNzWbr1d/vWbXWMXQ8w49tl013DB6GDnUXZwLpkmRZRmFhYbvhLM+H54gTi8WCYcOGIT09HTNmzEBGRgYyMjKQmprarWGoy3G5XNi/fz+2b9+ODz74AJWVlYiPj8cNN9yA66+/HuPGjfPZSipvvsjabDakpKQgJSUFzc3NKC0tRUlJCb766it8+eWXiIqKQmJiIhITEy87Z3QpZrO5056cy+W6KHTsdnuny6Y7Bg+XTdOlMFwIbrcbp0+fvmij4fHjx5XDGgMCApT5kDlz5ii9kZSUFK+sVmppacFnn32G7du348MPP0RNTQ0GDBiAm2++Gddffz1Gjx7dp1/YrFYrhgwZgiFDhqClpQXnz59HcXExvvnmG3z99deIjIxUgqa3t1+aTCaYTCYEBQW1+7zb7W63gKC5uRk1NTWdLpvuGDpcNk0Ml36kpaUFp06dumg4Ky8vD83NzQCA0NBQpKen44orrsBtt92mzIsMGjTI6y/mTU1N+OSTT5CTk4OdO3eivr4eycnJuOOOO5CVlYWMjIx+OTxjsVgwaNAgDBo0CE6nE+fPn1dOHThy5AjCw8OVoGm7rLq3jEYjAgMDLwovWZYvWrlWV1enDOUB7ZdNc69O/8Rw6YMaGxtx8uTJi1ZmnTx5UhnqiIqKQnp6OiZPnowlS5YoK7MSExN9+gLucDjw8ccfIycnB7t27UJjYyOGDRuGJUuWICsrC2lpaf0yUC7FbDZj4MCBGDhwIFwuF8rKylBSUoITJ07g6NGjCA0NVYKmuwskuspgMCAgIOCioTkhxEWh09DQALvdfsll09yr03fxN+rH6urqlBeVtr2RgoIC5cmckJCA9PR0zJo1Cz/72c+U4ayYmBhN271r1y5s374de/bsQXNzM0aOHInly5fj+uuvR3JysmZt8ycmkwlJSUlISkqC2+1GeXk5SkpKcOrUKRw/fhzBwcFITExEUlISwsLCvN4eSZJgs9kuWnjQ2V6dxsZGVFdXX3LZtOeDe3X8F8PFD9jt9k5XZhUWFip/ZvDgwUhPT8dNN93Ubo9IeHi4dg1vo6amBh9++CG2b9+OvXv3wul0YsyYMfj5z3+OrKwsr6y+6k+MRiMSEhKQkJAAWZaVoDl9+jTy8vIQGBiIpKQkJCYm+vwis7ZLnzvqbJ9ObW2tsmzaYDB0upjAbDazR6tzDBedEEKgvLy8042G58+fB9D6REtNTcWIESNwxx13tFveq+ZYu1oqKiqUQNm3bx9kWcaECROwatUqzJ49GwkJCVo3sU8yGAyIj49HfHw8ZFlGRUUFSkpKcO7cOZw8eRIBAQHK0FlkZKSmL9IWiwUWiwUhISHtPu9ZNt32o66urt1enUutYGPo6APDxceEECguLu70CPiqqioArePqaWlpSE9Px7333qus0kpLS+v1XgdvKysrw44dO7B9+3bk5uZCkiRMmjQJv/nNb3DddddpOhzXH3l2/8fGxmLMmDGorKxUjqHJz8+HzWZTDtaMjo7WzQuzZ9l0xzdNnmXTbT8aGhqUvToAl03rBcPFS2RZxpkzZzo9Ar6urg5A674GzxHws2fPVlZmpaam+tVYs+ek4ZycHPz3v/+FyWTClClT8MQTT1x07wlpR5IkREdHIzo6GqNHj4bdbleC5vTp07BYLErQxMTE6PLFuCvLpj0fHa846GzZNK848B6GSy85nU7k5+dftNHwxIkTyhHwwcHBykT6/PnzlfmQIUOG+O3SzLNnzyrneH399dewWCyYPn06nn32WVx77bU+mUCmnpMkCZGRkYiMjMSoUaNQXV2N4uJilJSU4OzZszCbzYiPj0dSUhJiYmJ0/zjt6rJpz5wOrzjwPoZLFzU3N7db3tv2CHjPAzUiIgLp6emYOHEifvSjH7U7Al4vww29cerUKSVQjh8/joCAAFxzzTVYsmQJZs6cedG7SfIf4eHhCA8Px8iRI1FbW6sETWFh4WWvCtC7Sy2b7uyKg/r6emVoGvh/e3U6hg6XTXcNq9RBQ0ODsry3bW8kPz9fmUyMi4tDeno6rrnmGtx///3KcFZsbGyfCBEPz9H177//PnJycpCfn4+goCDMnDkTDzzwAKZPn96jY0hI30JDQ5XNtJ4ToEtKSvDFF190+aoAvTMYDF1eNu1wONotm/bs1ekYOv40lO0L/vnIUEFNTc0lj4D3GDhwIEaMGIEbb7yx3fLeyMhI7RruZUIIfP3110oP5dy5cwgNDUVmZiZWrlyJqVOnqnZmGOlfSEgIhg8fjuHDh6OhoUEJmtzc3B5dFaB3l1o2LYS4aAVbU1MTampqLtqr09nhn/1Rnw+XioqKTo+ALykpAdD6YEpOTkZ6ejp++MMfKkNZw4cP99oOZ72RZRmHDh1SJuVLSkoQERGB6667Dr/97W9x1VVX9YkXDuqdoKAgpKWlIS0tDQ6HA6WlpSguLsbBgwchSRJiYmKUoOlrb0A8S597umy6P15x0CfCxXOPeWcbDSsqKgC0dmU9y3vvvvvudntE+uPQjtvtRm5urnJ0/YULFxATE4PZs2fj+uuvx5VXXulXY+vkW4GBgUhNTUVqamq7qwIOHz4MQN2rAvSuO8um6+vr+80VB34dLrIsY+bMmThy5AhqamoAtK5xHz58ONLT03Httdcq8yFDhw7tt93Tjv7xj3/gqaeeQlVVFRISEjBnzhxkZWVh/PjxXJZJ3daVqwKmTp3a7x5bl1o23dUrDmJiYvx61aXfXxbmdruVlO/4X+pcU1MTHA4HgoKC+nzXXE11dXU4ePAgJkyYcNHQCF3M6XSiuroaDocDgwcP1ro5uud2u9HS0gKn04mWlpZOl1b7E78PFyJfcbvdcDgcCAwM5JAh0XfwargIIWC322G32731I3zKYDBgwIABXp3cFkKgpqYGtbW1XvsZviRJkk9WEgkh4HA4lI2r/k6SJISHh3s1xDwroNpuKPR3AQEBXh9+E0JAluV2R874O28cBOr1OZf169fjxIkTiI2N9drP8OSjN4d3hBA4fPgw1q9fj0GDBnnt5wDA5s2bUVBQ0CeWPB89ehRPPfUUEhMTvf6zPvvsM5SXl+vyEM/uKioqwsKFC73+GDhz5gzq6+u9urrLV8/P2tpajB071idDSXa7Hc3NzX67z6etpqYmJCYmqv4G0OuVkWUZy5cvx8SJE1X/e0+fPo1du3bhq6++QkNDAxITEzF58mRMmTLFK0fN/8///I+yvNCbZFnGnXfeidGjR6v+9xYWFmLfvn04fvw4GhsbERsbi/Hjx2P8+PFeWXr95JNP+qRmQOsLzLRp01QPf1mWcf78eeTl5aGsrAyyLCMqKgpDhw7FwIEDvdIr+/vf/w5fjVgnJyer/nwRQqCurg4VFRXKstyAgADlyBlvvCgfOXJE9b/zUoQQiIyM9MpKOM9hnM3NzRBCwGw2K6cMeKMnW1ZW5pXHms9iV613LUIIFBUVYfXq1di8eXO7q1WB1iXHI0aMwIoVK3DbbbeptqxPi6kpNWtWWlqKl19+Gdu2bUN1dXW7rxuNRqSmpmLZsmW48cYbVZvk12o6T826lZWVYfv27Th69KhyFbSHyWTCkCFDMHv2bKSlpak2HOPvj7Xa2lqcOHEC5eXlFw0dSZKEkJAQpKamIikpCQaDgY81tLa/qakJFy5cQENDQ6f/HovFgoiICISHh/tF3fyqTyeEwO7du/Gzn/0Mx48fhyRJGDhwIMaOHYuwsDCcOXMGX375Jb755hvcd9992LlzJ1avXo2YmJh+uyJKlmXs27cPv/vd71BQUABJkpCYmIj09HSEhISgqKgIx44dQ15eHn7961/j888/x0MPPYSIiIh+WzOgtW5ffvkl/v73v6OmpgYGgwExMTFITEyEyWRCWVkZzp8/j1OnTqGwsBAzZ87ErFmz+vUlVrIs49y5czh27BhaWlogSRKCgoIQGhoKo9GIhoYG1NbWora2FocPH0ZZWRlGjRoFm83Wb2sGtNbNbrfjwoULSi/fs9/FYDAoS5ZbWlpQVlaGuro6JCQk6H6lp9+EixAC//73v3HffffhwoULiI2NxYoVK7Bo0SIlPJxOJ7755hs8++yz+Mc//oE333wTJSUleO2113x+N7weyLKMDz74AI8++ijsdjuio6OxbNky/OAHP1AuiXI6nTh16hTWrVuHDz/8EH//+99RXl6OZ599tt+GsizL2L9/P/7+97+jubkZUVFRuP7669u9EDqdThQUFGD79u04ffo0duzYgbq6OvzgBz/Q/ZPeG2RZxsmTJ5GXlwdZlhEcHIzhw4cjLi5OGQKTZRl1dXU4deqUsunS4XBgwoQJCAoK6nc1A6DcGuo5MNNqtSImJgZBQUHtesLNzc2oqqpCTU0NHA4Hzp07h6SkJAQEBOi2bn6xq0kIgV27dinBMmrUKPzjH//AL37xC8TFxSldRIvFgrFjx2Ljxo148sknERQUhF27dmHZsmWoqqrSrOusBSEE9u7di0ceeQR2ux3Dhw/Hyy+/jCVLliA6OrpdzdLT0/HHP/4RK1asQEBAAPbu3Ytf//rX7c5N6i+EEEqPpbm5GSkpKbj//vtx5ZVXIjAwsF3dhg8fjnvvvRdTpkwB0LqgYNu2bX1qFVFXCCGQn5+PEydOQJZlxMfHY/LkyUhKSlJ6cpIkwWg0IiwsDOPGjcPo0aNhNptRXV2N3NxcOByOfvlYu3DhghIsoaGhGDx4MEJCQmA0GpW6eY6PSUhIQFJSEkwmE5xOJ4qKitDY2Kjbuuk+XIQQyMvLw/Lly5Vgefvtt3HllVd2mtiSJMFmsyE7Oxt//OMfERAQgA8//BAPP/zwRWPmfZUQAqdOncJvfvMbVFdXY8SIEXjxxRcxatSoS9bMarXinnvuwapVq2Cz2bB7924899xzfWqZ6nfxzOdt3boVzc3NSE5OxuLFiy/Zg5MkCYGBgbj55psxbdo0AMCnn36KvXv3+mwRg9aEECgpKcGJEycghEBiYiLGjRt3yXfUnpAZMmQIxo4dC7PZjJqaGhw+fBhOp1O3L5Rq82zT8ARLeHg4EhMTlVDpyBMyISEhynYIl8uFkpIStLS06LJuug+X+vp6/OIXv0B+fj4SExOxYcMGDB8+/Du7gkajEffccw8eeughGAwGvPHGG3j99dd1+UtQW319PR5//HEUFRUhISEBzzzzDIYMGdKlmt1+++1YtmwZDAYD3n33XfzrX//qFzUDgMbGRmzZsgW1tbWIjo7GwoULERYWdtm6eXoxc+fOxdixY+F2u/H+++/j9OnTfb5uQgjU19fjm2++gdvtRlRUFK644oouzTtJkoSEhASMHj0aRqNROWC2r9cMaK1bY2MjysvLIYRASEgI4uLilAC5HEmSEBAQgKSkJBiNRrS0tKC0tFSXb2Z0HS6yLGPdunX44IMPYLPZ8Oyzz2LChAldHmM0mUx48MEHMX/+fDidTjz++OP4+uuv+/QDWJZlvP7669i/fz8CAgLwq1/9Cunp6d2q2b333otZs2bB6XRizZo1yM/P79M1A1rr9vHHHyvX/c6fP79b9/NYLBbMmzcPiYmJaGxsxD/+8Q80NDR4udXacrvdOHLkCBobGxEQEIAxY8Z0a75JkiQkJSUhLS0NkiTh7NmzKCoq6vOPNbfbjfPnz0OWZVitVsTHx3dr9ZcnYBISEiBJEhwOByoqKnRXN92GixACX331FZ5//nnIsozFixfjlltu6fbkVUBAAJ566ikMHToU58+fx29+8xs0NTV5qdXa8tzF8tprr0EIgdtuuw2ZmZk9qtnKlSsxYMAAlJWVYe3atX16eEwIgcLCQuzZswcAMHXqVIwYMaJbdZMkCWFhYbj55pths9lw7tw57N69W5fvKNXgqdmFCxdgMBiQkZGB4ODgbj/WDAYDUlNTERcXByEEjh8/fsmluH2BEAKVlZVoamqCwWBQLlzrbt08Q2SeTbZVVVWor6/XVd10Gy4tLS144okncOHCBQwbNgy/+tWverTxSpIkDB48GI899hgsFgtycnJ8ukHNl5qamvDCCy+gpqYGaWlpuP/++3u06UqSJAwaNAg//elPYTKZsHPnTnz00Ud9smZA6ym1O3bsQGNjI+Lj43Httdf2uG5Dhw7F1KlTAbTOvxQXF/e5unmO2jl58qQyz9Kb1ZhGoxEZGRmw2WxobGxU5m/6Gs9eFs9xWBEREQgMDOxx3SRJQnR0NAICApTFAXpaTKLLcBFCYMeOHXj//fdhMpnwq1/9qlcPXkmScPPNN+OGG26A0+nEM888o9zz0lcIIbBz5058/vnnMJvNeOCBBxAVFdWrms2ZMwdTpkyB0+nEX/7ylz5z3llbnnfLx44dg9FoxOzZs3t14rHBYMCMGTMQFxcHh8OBDz74QFdPeLXk5+ejsbERNputS3OglyNJEoKDgzFs2DBIkoSSkhJcuHChzwWMJwA8w2G9eX56GAwGZcWsJ7j0Ujddhkt9fT1Wr16N5uZmXH311Zg/f36vfwlWqxUPP/wwwsPDcfTo0T43uV9bW4v169fD6XRi+vTpmDlzZq9rZrPZ8JOf/ARBQUE4duwY/v3vf/epmgGtPeSdO3fC7XYjNTUVo0eP7nXdQkJCcN1118FgMOCbb75R3uH3BZ6DVYuKigC0Hh2jxh4Vz4boyMhIyLKMvLy8dveb+DshBBoaGpR5uOjoaFWOcvHMv3iO76mqqtLN6jHdhYsQAv/5z3/wxRdfICAgAKtWrVLlpkhJkjBu3DgsXLgQQgi89NJLKC0tVaHF2hNC4P3338fx48cRFBSEH//4x6pcjCZJEsaMGYOsrCzIsow33nijz5xwDbTW7ejRozh79ixMJpOyw763JEnCFVdcgeTkZLhcLnz00Ud9Zs7Ks6fF6XQiJCQEgwcPVm0Tn9FoxPDhw2EwGGC321FaWqqLF0k1CCGUSfegoCCEhISoVjdJkhAVFQWz2Qy3233RkVha0V241NfX409/+hNcLhdmz56N6dOnq/ZLMBgM+OlPf4qYmBicOXMGb7zxRp948NbW1uLNN9+ELMuYNWsWxowZo+oT/u6770ZoaChOnz6N//znP32iZkBrr8Uz6T58+HAMHTpUtbpZLBZl7iY/P79P9F48vZbz588DaO21qHm7q+dFMj4+vl2I+TvPku3Gxkbl36j68fYmkzK5X1tbqxx6qSVdhYsQAh988AEOHjyIgIAAPPDAA6qeOCtJEoYNG4bbb78dQghs3LgR5eXlqv39WvDMteTl5SEoKAh33XWXqienemo2e/ZsCCHw9ttvK1dK+zMhBE6ePIlz587BZDLh6quv9krdUlJS4Ha7sWfPnj4xzHPmzBm4XC6EhIQgKSlJ9RdJSZKQmpoKo9GIuro6nD9/XvMXyd4SQiibJYOCgno1iX8pntWKFosFsiwrP09LugqX5uZmvPTSS3C5XLj66qsxefJkr/wSli1bhoiICOTn52Pr1q1+/eBtbGzEW2+9BVmWcfXVVyMjI0P1mhkMBtxxxx0ICgpCfn4+du3a5dc1A1r3GuzduxdutxvJyclISUlRvW5ms1kJrVOnTuHMmTN+Xbf6+nplKHnw4MFeuWrAc0maZ2ny6dOn/XpBhGeuxdNr8Zzp5w1GoxEREREAWq/kbmlp8crP6SrdhIsQAl988QX27t0Ls9mM+++/X9Uut4ckSUhPT8fcuXOV3ktdXZ3qP8cXPDX75ptvYLVasXDhQq/ckyFJEkaMGIFp06ZBlmVs3rzZr/cKCSFQXFyMU6dOwWAwYOrUqV57oRw+fDiSkpLgcrnw2Wef+e2+F8++FqfTicDAQK/0WjwkSUJycjIMBgNqamr8fuWYZwVXQECAV3otHpIkITQ0VJl7qa6u1rRuugkXWZbx2muvoampCWPGjMGMGTO89kswGAxYunQpAgIC8NVXX2H37t1++eB1uVz429/+BqfTibFjx2LcuHFeq5nJZMKCBQtgNpvx9ddf49ChQ35ZM6D1hXL//v1oaWlBXFxcr5fSXo7FYlF64MeOHfPbYdjm5mYUFxcDAJKSkrx6c6UkSYiIiEBkZCSEEDh79qxfPtY8+1ocDgcA+OQaC5PJhLCwMACtcy9a9vp0Ey5nzpzB+++/D0mScNddd3n1qlpJkjBx4kRcddVVcLlc2Lhxo1+OhxcUFODzzz+HwWDArbfe6vUn/Pjx4zFy5Ei0tLRg69atfvsuvKamRrm18Morr1RlNeKlSJKE0aNHIzIyEo2NjcjNzfW7F0rPpWkOhwNmsxkDBw70+oukwWBQVqJVVlb67R6r6upqZV9LT04w6C7P3IvBYIDT6URdXZ1mjzddhIsQAlu3bsWFCxeQmJiIm266yeu/BKvVirvvvhsGgwG7d+/GiRMnvPrz1CaEwLZt21BXV4eBAwfi6quv9nrNAgICcPPNN0OSJOzZs0d5J+tPPEfk1NTUIDg4GGPHjvV63YKDgzFu3DgAwOHDh/3uzDHP9dgAlLtGvE2SJMTGxiIoKAgul8svzxxzuVzKkLvnBd8XLBaL8uZcy2szdBEuDQ0NeOeddwAAc+fORWJiotd/piRJmD17NpKTk1FTU4N3333Xrx68NTU1yMnJAQBkZWUpE3neJEkSrr32WsTGxsJut2PHjh1+VTMAcDqdOHjwIAAgIyPDZ3UbP348bDYbKisr/e54k9raWlRXVysbHX11OZXZbFZeC0pLSzWfoO4OIQTq6urgcrlgNBoRGhrq00u9PENjjY2NaGpq0uTxpnm4tJ2UttlsWLhwoc9+CdHR0Zg3bx4AYOvWrX6zxNZTs7NnzyIoKAhz5szxWc1iY2Mxc+ZMAMB7772HxsZGn/xcNXgmpYuKimA0Grt1wnZvxcfHIzU1FUII5Obm+s2Qomfxg9vtRnBwsFf2aFyK59Rkk8mExsZGXZ78eymePUFAa8/VGwtGLsVzz5DVaoUQQrMhRV2Ey+bNm9HS0oIxY8Zg/PjxPn3w3nrrrQgMDEReXh4+//xzv3jwyrKs3Hg4ZswYDB061Gc/W5IkzJ07FxaLBSdOnMCRI0f8omZA62Pt8OHDcLlciI+P79IdN2oxGAyYOHEiJElCQUGB30zsO51OZdNkYmKiV1YjXk5wcLAyse9Ph4A2NTUpKypDQ0N9/vMNBoNyRl59fb0mb2Y0D5fy8nLs2LEDAHDLLbd4dXK1M6NHj8aECRPgcrnwzjvv+MWDt7S0FPv27VMOl/T1u6JRo0YhLS0NLS0t2L59u89+dm85HA588803AICxY8d6dQFER55NlZGRkWhqavKLe4U8x8M7HA4YjUbl/hBfkiRJGRqrrKz0i56yp7cghIDVavXq8uNL8RzJL0kSWlpaNLlGWtNwEULg448/RnFxMSIiInw6vONhtVpxyy23AAB27typvEvTKyEEPvnkE9jtdkRHR2PatGk+r1lgYCCuu+46AMDu3bv94rwxz9XPdrsdNptNlQMquyswMBAZGRkAgK+++sov5hBKSkoghEBERIRXV3Beimdi32q1oqWlxS/2vMiyjPr6egCth5j6aiK/I6vVCpvNBgCa7OXTNFzcbje2bNkCWZZx1VVXISUlxedtkCQJ119/PSIjI3H+/Hl8/PHHun7wOp1O5OTkQAiBSZMmIS4uzudtkCQJmZmZCAoKQnFxsV/sefEMicmyjMGDByMmJsbnbZAkCWPHjoXJZEJpaanuh3mampqUqykSEhI0e5G02WyIjo4GAN0fZum566alpUUZmvL1mxgPT+8FaF005es9L5qGS3FxMfbu3QtJkjB//nyfj+d6DBkyBJMnT4Ysy9i6dauuj5soLCzE119/DYPBgKysLM2e8MnJyRg1ahTcbrcSdnpWXV2NU6dOAWgdElPzHLGukiQJAwYMQGxsLFwuF7766iuft6Gr2t6YaDabu3XlszckJCQAaN3t7tmUqFeeCXSbzebTodeOPPfkePa8NDY2+vR5qlm4eIbELly4gJiYGFx77bWaPXiNRqOyf+Ozzz7T7f4Nz5BYbW0t4uLilAliLZjNZmRmZgIA9u3bp4uD8i7Fc0hlXV0dgoODvboj/7tYrVaMGjUKAHD06FFdH6PjOUfMc2OiVjxnctlsNjidTl2vGnO73co+Ji17LR4Wi0UJOM9Qna9oFi5utxv//Oc/IYTA5MmTkZSUpFVTIEkSZs6ciejoaFy4cEG3x8E4nU7s2rULADBp0iTliG0tSJKE6dOnIyQkBOXl5fjvf/+ry5oBrWPgnl5CcnKycrGSFjwLIsxmMyoqKnS7ObCpqUm5F0SLifyObDab8njX60nJniExl8sFg8Hgkx3538XTewFah8Z8uWpMs3ApKSlRVjzddNNNmgxTtJWUlISrrroKQgj861//0uU+hOLiYhw5cgQGgwGzZs3S/IE7cOBAZWhs586dunzCA61DYqdPnwYAjBkzRrOhRI/4+HjEx8fD7Xbj66+/1rQtnfEcEd/c3Ayz2Yzo6GjNH2tAa92A1qExvfb4PBPnAQEBXjl4t7s84SJJEpxOJ5qbm332szV5lgkh8Omnn+LChQuIiorCNddco/mD12g04vvf/z4kScK+fft0d0ulEAKff/456urqEBMT49P9QJdiNpuVDZVffPEFqqurNW1PZzxDYg0NDQgJCUFqaqrmdbNYLMqqsRMnTvj0Cd9VnlWT4eHhmg6JeXiGxsxmM1paWnR1V7xHxyExvbBYLLBYLMqlZb6qmybh4tkEKITAxIkTNR0S85AkCddccw0iIiJQXl6uuw2VbrdbWck2YcIEREVFad0kSJKEqVOnIigoCOfPn9fl3g1ZlpVDKocMGaIci6ElSZKQkZEBk8mEiooK3c3xtbS0KENicXFxmoexR9u74svKyrRtTAdCCDQ2NipDYkFBQbqpm8FgUN4gNDQ09O1wqaysxGeffQYAuPHGGzVbJdbRoEGDMG7cOMiyjPfee09XL5QXLlzAV199BUmSMGPGDM2HdjwGDx6MYcOGweVyYffu3Vo35yK1tbU4c+YMAGDUqFG6qVt8fLyyauzYsWO6eax5ji1pamqC0WhETEyMbl4kPXteAKCqqkp3VyB7hsRsNptPNzZ3heew0ebmZp+dAO/zZ5oQAgcPHkRJSQlCQ0O9em9Ld5lMJtxwww0AgE8//VQ3mwOFEDh06BDsdjvCwsI0XSXWkcViwfTp0wEAn3/+ua5O/BVCoKCgAPX19QgKCkJaWppu6ma1WjF8+HAAwPHjx3X1QllWVgYhBEJCQnxyAnJXee6fNxgMcDgcurrkT5ZlZYm0Hiby25IkCQEBATAajZBl2WdLkjV5G5eTkwO3242RI0dqsnHyUjyrxoKCglBUVIQvv/xS6yYBaH2R3LNnD2RZRkZGhjKxqQeSJGHatGmwWCwoLCxU9pLogRAC33zzDYQQGDhwoKarxDqTnp4Oo9GIsrIyXLhwQevmAGgdfvVsnIyNjdVNT88jODgYQUFBEELoaklyU1MTWlpaIEmSrobEPEwmk7Jb31dvAH3+yKmvr1eGTzIzMzXdZNSZtLQ0DB8+HE6nEx988IEuHrx1dXXKMfHTpk3TzTCix9ChQzFw4EA0Nzdj7969uqgZ0PokKigoAACMHDlSVy+Ung2V4eHhaGlpQV5eni7qVl9fj4aGBkiSpKshMQ+TyaQsSdZLuHgmyoHWHqneXtM8PL1Qh8Phk9WwPn+25eXl4dSpU7BYLJpunLyUgIAAZQXUrl27dLHk8eTJkyguLobNZsNVV12lu5oFBwfjyiuvBAB89tlnuhji8RyvX1NTA6vVqqshMY+AgACl5378+HHNl797duW73W4EBARocppvV3iO7qmtrdXF81MIofQGtDiksis8x/B7liT74jnq03Dx7MpvbGzEoEGDlJ3KeuI5N8tkMuHEiRPKO1+tCCGwb98+OJ1ODBo0CMnJyZq251KmT58Og8GAvLw83Rz+eezYMciyjISEBOVsKj2RJAkjRowAABQVFWl+n5AQQrkKwLPsV28kSUJ4eLiyJFnLmxY9WlpalENItTjcs6ssFgtMJpOyss3bdfNpuLhcLnz00UcAgMmTJ+tiWWhnxowZg4SEBNTV1Wk+zON0OvH5558DACZMmKCrCVYPSZJwxRVXIDIyEjU1NTh8+LDmT/jm5macPHkSADB8+HDdDSUCrXVLTk5GUFAQGhoacO7cOU3r1tzcrAScFgd7dpXNZlP2kXjmh7Ti2ZUvy7Iyr6HHngvQupfPl/MuPg2XsrIyHD58WOkd6PWXEBUVhYkTJwJoPYZfy+GKsrIy5OXlwWAwYMqUKZq147tERUUhPT0dQgjNAxlorVtFRQWMRqOmZ4l9l7CwMCQmJkIIgRMnTmjalpqaGrS0tCjzGnqtmcFgUOZdqqqqNB9ObDskpvVJI9/Fs9+lqanJ63XzWbh4ltNWVFQgLCwMkyZN0vWDd9asWQCA3NxczZYkCyHw1Vdfoba2FmFhYbjiiit0WzOTyYTJkycDAA4dOqTpkmTPrnyn04nIyEjlRF09MhqNSEtLAwAUFBRotlu/7eqrkJAQn1/a1x2eJcmSJKGhoUHTeRe3261cYKbHUYW2PEuSfTXv4tOey65du+B2u5GRkYEBAwb48kd3iyRJmDJlCoKCglBSUqLs8NbCvn37IMsyhg8frst5Aw9JknDllVfCarWipKQE+fn5mrVFlmWlF5CSkqIMBeiRJElIS0uD0WhEZWWlZkuSZVlWduV79pLoWVhYGMxmM5xOp6ZzVU1NTcqufL1O5rdlsVhgNBohhPB6KPvsEdTY2Ii9e/cCaJ381etyPY+UlBSkpqbC6XRiz549mrTB4XDg0KFDAFpPQdbjBGtbKSkpSExMRHNzM3JzczVrR3V1NYqLi5UJc70/4ePj4xEREQGn06lZKDc2NqK+vh6SJOn6TYyH1WpVJs89oagFTw/dYrHo/vkJtPaUPa+93r4Xx2fhcu7cOZw8eRImk0kXB1V+l6CgIGWYZ8+ePZosry0sLERhYSHMZjOuvPJK3dcsODgYY8aMAQDs379fs0vXzp07B4fDgcDAQAwePFj3dbPZbBg8eDCA1mXnWswh2O12uFwuWCwWhIaG6r5mnoMsgda2a1Ezz2Q+oN8lyJ1pO+/izblRn4XLF198oZzoO3r0aF/92F7xnOH1zTffaHJQ3pdffgmHw4Ho6GhlXF7PJElS9uEcPXpUs7mqEydOQAiBxMRE3a5IbMszNAa0LknWYr7K8+4/NDRU96MKHp5wqa+v12SuyuVyKUuQ9T7f4uGZdwFal1B785wxn6zPFEIoF3CNHj1a18scPSRJwvjx4xEWFoaqqiqfHwUjhMD+/fsBtB4T4i8vkmPGjEFgYCCqqqqQl5fn8zY0NTUpe5OGDRum+9U7QGvdhgwZAqvVitraWp9f9+B2u5U3Ap6Jcr2TJAmhoaEwm81wuVzK1cK+ZDKZMGjQIDQ1NSkT5f7AM+/idru9Gso+6bk0NDTgwIEDAICrr77aL57wQOsFYsOHD4fb7fb5vEt9fb2ykOB73/ue7idYPZKSkjBo0CC4XC7ld+5LjY2NsNlsCAwM1OWu/EuJjIxEdHQ0ZFn2+bxLS0sL3G43jEajrpcgd2Sz2ZRzxrToJXt6AeHh4X7zmga0hqJnfsiz0s0rP8drf3MbdrsdZrMZoaGhmDp1qt88eK1WK6655hpcuHABAQEBPn131NDQgKioKNTV1WHChAl+UzObzYYJEyaguLgYdrvd55sXIyIi8NOf/hTV1dWaXgPdXRaLBSkpKaiqqkJ9fb1PX6xsNhumT5+OhoYG3R750hmDwYDw8HA0NDSgpaVFszdg/vLc9PCEoudNhbfa7/VnvhACsixj3bp1KCwsRHBwMI4fP+7tH6uam266CTfddBNCQkLw3HPP+eRnCiHgdrvx6KOPoqqqCjabTdOlvd2VmZmJGTNmIDY2Fq+//rpPf7bdbleWHldVVfn0Z/fW6NGjkZGRgbCwMJ/djeNZkmo2m2E2m736TtYbEhISEB8fD5vN5vOjmpxOp9+MKHQUEhKCkJAQmEwmr62283q4jB8/Hp988okyZ3H48GFv/0ivSUpK8sk7u5EjR+LAgQM4duyY13+Wt8XFxfnsvKUBAwYgPz8fRUVFPvl53hQWFuaT/Tnh4eGorKzU5RXV3WWz2XzWU7bZbHA4HLo4OLO3zGazV3rKkvDyOR1aHwPiDd7uBrNmPcO6dR9r1jOsWxf+Pm+HCxER9T/+OWBIRES65vfhIoRQPqhrZFlGc3Oz5qfJ+hu32426ujrNTh7wR263G/X19axZN/WF56jfh8vhw4dhNpv9eqGArx07dgyjRo3qEwsGfKmkpAS//vWvUVJSonVT/EZdXR0+/PBD1NXVad0Uv9LS0oL8/HzlBAB/5PfhQkRE+sNwISIi1TFciIhIdQwXIiJSHcOFiIhUx3AhIiLVMVyIiEh1DBciIlIdw4WIiFTHcCEiItUxXIiISHUMFyIiUh3DhYiIVMdwISIi1TFciIhIdQwXIiJSnV+HixACdrsdAGC323kbZRd4auZyuVizbhBCoKqqCrW1taiqqmLdukAIgcrKSpSXl6OyspI16yIhBCoqKlBcXIyKigr/rZvwQ3a7XaxZs0akpqYKAMpHamqqWLNmjbDb7Vo3UXdYs55h3bqPNeuZvlY3vwuX7du3i6CgICFJkpAkqd0vwfO5oKAgsX37dq2bqhusWc+wbt3HmvVMX6ybX4XL9u3bhdFoFAaDoV3xO34YDAZhNBr96hfhLaxZz7Bu3cea9UxfrZskhH8M6FVXV2PAgAFobGyELMvf+ecNBgMCAgJQVFSE8PBw7zdQh1iznmHduo8165m+XDe/mdB//fXX4XA4uvQLAABZluFwOLBp0yYvt0y/WLOeYd26jzXrmb5cN7/ouQghkJaWhoKCgm6tnJAkCSkpKTh58iQkSfJiC/WHNesZ1q37WLOe6et184twqaioQExMTK++PyoqSsUW6R9r1jOsW/exZj3T1+vmF8Ni9fX1vfr+uro6lVriP1iznmHduo8165m+Xje/CJfg4OBefX9ISIhKLfEfrFnPsG7dx5r1TF+vm1+ES1RUFFJTU7s9vihJElJTUxEZGemllukXa9YzrFv3sWY909fr5hfhIkkSHnjggR59b3Z2tq4nvbyFNesZ1q37WLOe6et184sJfaBvrwf3FtasZ1i37mPNeqYv180vei4AEB4eji1btkCSJBgMl2+2wWCAJEnYunWr7n8B3sSa9Qzr1n2sWc/06br5+kiA3urqGTw5OTlaN1U3WLOeYd26jzXrmb5YN78LFyFaTw9du3Ztp6eHrl27VlRXV2vdRN1hzXqGdes+1qxn+lrd/GbOpTPi2zs26urqEBISgsjISN1PcmmNNesZ1q37WLOe6St18+twISIiffKbCX0iIvIfDBciIlIdw4WIiFTHcCEiItUxXIiISHUMFyIiUh3DhYiIVMdwISIi1TFciIhIdQwXIiJSHcOFiIhUx3AhIiLVMVyIiEh1DBciIlIdw4WIiFTHcCEiItUxXIiISHUMFyIiUp0uw6WhoQFxcXGQJAkpKSlwOp2d/rmmpiZMmzYNkiTBarXi448/9m1DdYQ16xnWrftYs57pd3UTOrVmzRoBQAAQL7/88kVfl2VZ3HrrrQKAkCRJvPXWWxq0Ul9Ys55h3bqPNeuZ/lQ33YZLU1OTGDRokAAgBg8eLJqbm9t9/cEHH1R+SX/84x81aqW+sGY9w7p1H2vWM/2pbroNFyGE2LBhg1LodevWKZ9vm/4///nPNWyh/rBmPcO6dR9r1jP9pW66DheXyyWGDRsmAIiBAweK5uZmsWXLFmEwGAQA8cMf/lC43W6tm6krrFnPsG7dx5r1TH+pm67DRQgh3n77bSXNly5dKmw2mwAgrr76atHU1KR183SJNesZ1q37WLOe6Q910324yLIsxo4dq/wiAIiRI0cKu93+nd/7xRdfiBtuuEGEh4eLwMBAceWVV4o333zT+43WWE9r9sYbb4gf//jHYsKECcJisQgAYuPGjT5psx70pG5FRUXi+eefF9ddd50YOHCgMJvNIi4uTsyfP1/s27fPd43XSE9qZrfbxQMPPCCuuuoqERcXJywWi0hMTBQzZ84U7777rpBl2Xf/AI305nWtrWeeeUb5/s8//9w7je0h3YeLEEL87//+r1LA2NhYce7cue/8nl27dgmLxSKCg4PFsmXLxIoVK0RycrIAIP7whz/4oNXa6knNBg8eLACI6Oho5f/7U7gI0f26rVq1SgAQqampYsmSJeKhhx4St9xyizAajcJgMIjNmzf7qOXa6W7NTp48KYKCgsSsWbPEfffdJx5++GGxdOlSERsbKwCIe++910ct11ZPnqNtHT16VFitVhEUFMRw6Ym8vDwRHR2t/BKCgoJEWVnZZb/H6XSK1NRUYbVaxX//+1/l87W1tWLkyJHCZDKJvLw8bzddMz2pmRBCfPDBB+LMmTNCCCGeeuqpfhcuPanbli1bxJ49ey76/J49e4TZbBaRkZF9ZpijMz2pmcvlEk6n86LP19bWioyMDAFAHDlyxFtN1oWePkc9XC6XuPLKK8X3vvc9sWjRIl2Giy43UXqUl5fj+uuvR0VFBaKiogC0bkT6wx/+cNnv++ijj5Cfn4877rgD48aNUz4fEhKCRx99FC6XCxs3bvRq27XS05oBQGZmJgYPHuztJupST+s2f/58TJ8+/aLPT58+HTNnzkRVVRW+/vprr7RZaz2tmdFohMlkuujzISEhyMrKAgCcOnVK/QbrRG+eox7PPPMMvvzyS7z66qswGo3eamrvaJ1ul1JfXy8mTpwoAIjg4GBx8OBBMW/ePAFAWK1Wcfbs2Ut+78MPPywAdLoBqaqqSgAQU6ZM8WbzNdGbmnXUn3ouatatrTlz5ggA4tChQ+o2WAe8UbPGxkYxZswYIUlSnx1ZUKNuX3/9tbBYLOL3v/+9EEKIxYsX67LnostwcTqd4oYbbhAAhMlkEu+9954QQogvv/xSSJIkAIglS5Zc8vs9O1xzc3M7/Xp0dLSIiYnxStu10tuaddRfwkXtunmcPXtWWK1WER8fL1wul9rN1pRaNbPb7eKxxx4Tjz76qLjvvvvEwIEDBQDx2GOPeflfoA016uZ0OsWECRPEmDFjREtLixCC4dItS5cuVcYi169f3+5rnuAwGo3ixIkTnX7/ddddJwCIkydPdvr1lJQUYbFYVG+3lnpbs476S7ioXTchhGhpaRFXX321ACA2bdqkdpM1p1bNTp8+3W61lNlsFqtXr+6zq8XUqNvvfvc7YTKZxMGDB5XPMVy66LHHHlN+AY8++uhFXz9y5Iiy2ei2227r9O/ob+GiRs066g/h4o26ud1uZYK1L6568kbNXC6XOH36tHjqqaeExWIRN998c6cT/v5MjbodPnxYmM1m8dBDD7X7PMOlC9oei7B48eJL/rkFCxYIoPVgt87Gs/vTsJhaNeuor4eLN+omy7JYsmSJACAWLVrUJ3ZZt+Wtx1pbzz77rAAg/vznP/eusTqiVt3GjBkjRowYcdHqQ4bLd9i2bZswmUwCgMjMzFTGEztz7NgxYTQaBQBx4403XvT1/jKhr2bNOurL4eKNurndbnHPPfcIAGLhwoV9bp7Fm4+1tg4fPtytXo/eqVm3tkOIl/v4+9//7sV/UdddvB5QIzfeeOMl7zfoaMSIEXC5XJf8+jXXXIOnnnoKO3bswIIFC9p9bceOHcqf8Xdq1qw/Ubtusixj2bJl2LhxI26//Xa88cYb+l0e2kO+eqyVlJQAQKdLlf2RmnVbunRpp5/fs2cPTp48iZtuugkxMTEYMmRIT5qqPq3TzRucTqdISUkRVqu1Xfey7SbK7kzQ9kd9ueeiJrfbLe6++24BtB442NfmCrzh0KFDorq6+qLPV1ZWKkeivPHGGxq0zD/pdVisb7w96MBkMmHDhg3IysrC9OnTsXDhQoSGhmLr1q04ffo0nnjiCQwbNkzrZurOhg0b8OmnnwKAsvFvw4YNyk148+bNw7x58zRqnT79/ve/x2uvvYbg4GAMGzYMTzzxxEV/Zt68eRg7dqzvG6dTr732GjZs2ICZM2di8ODBCAoKwtmzZ7Ft2zbU19fjlltuwR133KF1M6mX+mS4AMDMmTPx6aef4rHHHsM777yDlpYWjBw5Eo8//jjuvPNOrZunS59++ilef/31dp/bu3cv9u7dCwAYMmQIw6WDM2fOAADq6+svucN6yJAhDJc2br31VtTU1GDfvn3Ys2cPHA4HIiMjMW3aNNx1111YsGABJEnSupnUS5IQQmjdCCIi6lt0fbYYERH5J4YLERGpjuFCRESqY7gQEZHqGC5ERKQ6hgsREamO4UJERKpjuBARkeoYLkREpDqGCxERqY7hQkREqvv/AQqz8FsiIm7lAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 500x600 with 11 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(in_vars=input_vars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "293b2a06",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "7000447f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([ 0,  1,  2,  3,  4, 64, 65])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.input_id"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "1d3648a5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['$x_0$',\n",
       " '$x_1$',\n",
       " '$x_2$',\n",
       " '$x_3$',\n",
       " '$x_4$',\n",
       " '$x_5$',\n",
       " '$x_6$',\n",
       " '$x_7$',\n",
       " '$x_8$',\n",
       " '$x_9$',\n",
       " '$x_10$',\n",
       " '$x_11$',\n",
       " '$x_12$',\n",
       " '$x_13$',\n",
       " '$x_14$',\n",
       " '$x_15$',\n",
       " '$x_16$',\n",
       " '$x_17$',\n",
       " '$x_18$',\n",
       " '$x_19$',\n",
       " '$x_20$',\n",
       " '$x_21$',\n",
       " '$x_22$',\n",
       " '$x_23$',\n",
       " '$x_24$',\n",
       " '$x_25$',\n",
       " '$x_26$',\n",
       " '$x_27$',\n",
       " '$x_28$',\n",
       " '$x_29$',\n",
       " '$x_30$',\n",
       " '$x_31$',\n",
       " '$x_32$',\n",
       " '$x_33$',\n",
       " '$x_34$',\n",
       " '$x_35$',\n",
       " '$x_36$',\n",
       " '$x_37$',\n",
       " '$x_38$',\n",
       " '$x_39$',\n",
       " '$x_40$',\n",
       " '$x_41$',\n",
       " '$x_42$',\n",
       " '$x_43$',\n",
       " '$x_44$',\n",
       " '$x_45$',\n",
       " '$x_46$',\n",
       " '$x_47$',\n",
       " '$x_48$',\n",
       " '$x_49$',\n",
       " '$x_50$',\n",
       " '$x_51$',\n",
       " '$x_52$',\n",
       " '$x_53$',\n",
       " '$x_54$',\n",
       " '$x_55$',\n",
       " '$x_56$',\n",
       " '$x_57$',\n",
       " '$x_58$',\n",
       " '$x_59$',\n",
       " '$x_60$',\n",
       " '$x_61$',\n",
       " '$x_62$',\n",
       " '$x_63$',\n",
       " '$x_64$',\n",
       " '$x_65$',\n",
       " '$x_66$',\n",
       " '$x_67$',\n",
       " '$x_68$',\n",
       " '$x_69$',\n",
       " '$x_70$',\n",
       " '$x_71$',\n",
       " '$x_72$',\n",
       " '$x_73$',\n",
       " '$x_74$',\n",
       " '$x_75$',\n",
       " '$x_76$',\n",
       " '$x_77$',\n",
       " '$x_78$',\n",
       " '$x_79$',\n",
       " '$x_80$',\n",
       " '$x_81$',\n",
       " '$x_82$',\n",
       " '$x_83$',\n",
       " '$x_84$',\n",
       " '$x_85$',\n",
       " '$x_86$',\n",
       " '$x_87$',\n",
       " '$x_88$',\n",
       " '$x_89$',\n",
       " '$x_90$',\n",
       " '$x_91$',\n",
       " '$x_92$',\n",
       " '$x_93$',\n",
       " '$x_94$',\n",
       " '$x_95$',\n",
       " '$x_96$',\n",
       " '$x_97$',\n",
       " '$x_98$',\n",
       " '$x_99$']"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "input_vars"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "a81b0147",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([ 0,  1,  2,  3,  4, 64, 65])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.input_id"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "77a3ae3b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([1000, 100])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.cache_data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "6d883067",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 44 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# manual prune inputs\n",
    "model = model.prune_input(active_inputs=[0,1,2,3,4])\n",
    "model.plot(in_vars=input_vars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3452ca73",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 11 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# prune nodes\n",
    "model = model.prune_node()\n",
    "model.plot(in_vars=input_vars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "42003070",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
